{"id":25008,"date":"2022-05-31T14:30:40","date_gmt":"2022-05-31T09:00:40","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=25008"},"modified":"2022-05-31T14:59:14","modified_gmt":"2022-05-31T09:29:14","slug":"ncert-solutions-for-class-6-maths-chapter-3-ex-3-6","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-6-maths-chapter-3-ex-3-6\/","title":{"rendered":"NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.6"},"content":{"rendered":"

These\u00a0NCERT Solutions for Class 6 Maths<\/a> Chapter 3 Playing With Numbers Ex 3.6 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.6<\/h2>\n

Question 1.
\nFindtheH.C.F. ofthe following numbers:
\n(a) 18, 48
\n(b) 30,42
\n(c) 18, 60
\n(d) 27,63
\n(e) 36, 84
\n(f) 34, 102
\n(g) 70,105, 175
\n(h) 91,112,49
\n(i) 18, 54, 81
\n(j) 12,45,75
\nAnswer:
\n(a) Factors of 18 = 2 x 3 x 3
\nFactors of 48 = 2 x 2 x 2 x 2 x 3
\nH.C.F. (18, 48) = 2 x 3=6<\/p>\n

(b) Factors of 30 = 2 x 3 x 5
\nFactors of 42 = 2 x 3 x 7
\nH.C.F. (30, 42) = 2 x 3 = 6<\/p>\n

\"NCERT<\/p>\n

(c) Factors of 18 = 2 x 3 x 3
\nFactors of 60 = 2 x 2 x 3 x 5
\nH.C.F. (18, 60) = 2 x 3 = 6<\/p>\n

(d) Factors of 27 = 3 x 3 x 3
\nFactors of 63 = 3 x 3 x 7
\nH.C.F. (27, 63) = 3 x 3=9<\/p>\n

(e) Factors of 36 = 2 x 2 x 3 x 3
\nFactors of 84 = 2 x 2 x 3 x 7
\nH.C.F. (36, 84) = 2x2x3 = 12<\/p>\n

(f) Factors of 34 = 2 x 17
\nFactors of 102 = 2 x 3 x 17
\nH.C.F. (34, 102) = 2 x 17 = 34<\/p>\n

(g) Factors of 70 = 2 x 5 x 7
\nFactors of 105 = 3 x 5 x 7
\nFactors of 175 = 5 x 5 x 7
\nH.C.F. = 5 x 7 = 35<\/p>\n

(h) Factors of 91 = 7 x 13
\nFactors of 112 = 2 x 2 x 2 x 2 x 7
\nFactors of 49 = 7 x 7
\nH.C.F. = 1 x 7 = 7<\/p>\n

\"NCERT<\/p>\n

(i) Factors of 18 = 2 x 3 x 3
\nFactors of 54 = 2 x 3 x 3 x 3
\nFactors of 81 = 3 x 3 x 3 x 3
\nH.C.F. = 3×3 = 9<\/p>\n

(j) Factors of 12 = 2 x 2 x 3
\nFactors of 45 = 3 x 3 x 5
\nFactors of 75 = 3 x 5 x 5
\nH.C.F. = 1 x 3 = 3<\/p>\n

The factors of 84<\/a> are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.<\/p>\n

Question 2.
\nWhat is the H.C.F. of two consecutive:
\n(a) numbers?
\n(b) even numbers?
\n(c) odd numbers?
\nAnswer:
\n(a) H.C.F. of two consecutive numbers is 1.
\n(b) H.C.F. of two consecutive even numbers be is.
\n(c) H.C.F. of two consecutive odd numbers be is.<\/p>\n

Question 3.
\nH.C.F. of co-prime numbers 4 and 15 was found as follows by factorisation:
\n4 = 2 x 2 and 15 = 3 x 5 since there is no common prime factor, so H.C.F. of 4 and 15 is 0. Is the answer correct? If not, what is the correct H.C.F.?
\nAnswer:
\nNo, The correct H.C.F. is 1.<\/p>\n","protected":false},"excerpt":{"rendered":"

These\u00a0NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.6 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Exercise 3.6 Question 1. FindtheH.C.F. ofthe following numbers: (a) 18, 48 (b) 30,42 (c) 18, 60 (d) 27,63 (e) 36, …<\/p>\n

NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.6<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[1],"tags":[],"yoast_head":"\nNCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.6 - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-6-maths-chapter-3-ex-3-6\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.6 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These\u00a0NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers Ex 3.6 Questions and Answers are prepared by our highly skilled subject experts. 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