which of the following numbers are coprime maths NCERT book 3.4 6th
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. Which of the following numbers are co-prime?
(a) 18 and 35 (b) 15 and 37 (c) 30 and 415
(d) 17 and 68 (e) 216 and 215 (f) 81 and 16
Answer:
(a) 18 and 35 (c) 30 and 415 (d) 17 and 68 (e) 216 and 215 (f) 81 and 16We know that Two numbers having only 1 as a common factor are called co-prime numbers.Factor of 18 are1, 2, 3, 6, 9Factor of 35 are1, 5, 7As the common factor of 18 and 35 is just 1, there for 18 and 35 are co-prime numbers
(b) 15 and 37Factor of 15 are1, 5, 15Factor of 37 are1, 37As the common factor of 15 and 37 is just 1, there for 15 and 37 are co-prime numbers
(c)Factor of 30 are1, 2, 3, 5, 6, 10, 15, 30Factor of 415 are1, 5, 15, 415As the common factor of 30 and 415 are 1, 5, 15 there for 30 and 415 are not co-prime numbers
(d) Factor of 17 are1,17Factor of 68 are1, 2, 4, 17As the common factor of 17 and 68 are 1,17 there for 17 and 68 are not co-prime numbers
(e) Factor of 216 are1, 2, 8, 108, 216Factor of 215 are1, 5, 15As the common factor 216 and 215 is just 1,there for 216 and 215 are co-prime numbers
(f) Factor of 81 are1, 3, 9, 27, 81Factor of 16 are1, 2, 4, 8As the common factor 81 and 16 is just 1, there for 81 and 16 are co-prime numbers
(a) 18 and 35 (b) 15 and 37 (c) 30 and 415
(d) 17 and 68 (e) 216 and 215 (f) 81 and 16
Answer:
(a) 18 and 35 (c) 30 and 415 (d) 17 and 68 (e) 216 and 215 (f) 81 and 16We know that Two numbers having only 1 as a common factor are called co-prime numbers.Factor of 18 are1, 2, 3, 6, 9Factor of 35 are1, 5, 7As the common factor of 18 and 35 is just 1, there for 18 and 35 are co-prime numbers
(b) 15 and 37Factor of 15 are1, 5, 15Factor of 37 are1, 37As the common factor of 15 and 37 is just 1, there for 15 and 37 are co-prime numbers
(c)Factor of 30 are1, 2, 3, 5, 6, 10, 15, 30Factor of 415 are1, 5, 15, 415As the common factor of 30 and 415 are 1, 5, 15 there for 30 and 415 are not co-prime numbers
(d) Factor of 17 are1,17Factor of 68 are1, 2, 4, 17As the common factor of 17 and 68 are 1,17 there for 17 and 68 are not co-prime numbers
(e) Factor of 216 are1, 2, 8, 108, 216Factor of 215 are1, 5, 15As the common factor 216 and 215 is just 1,there for 216 and 215 are co-prime numbers
(f) Factor of 81 are1, 3, 9, 27, 81Factor of 16 are1, 2, 4, 8As the common factor 81 and 16 is just 1, there for 81 and 16 are co-prime numbers
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