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In Math / Elementary School | 2024-09-04

find the greatest common factor (GCF) of the given number pairs by continuous division​ 1. 18 And 272. 20and 303. 32 and 344. 36 and 455. 63 and 72

Asked by darlynedungawen

Answer (1)

Answer:To find the greatest common factor (GCF) of the given number pairs by continuous division, we will apply the method of continuous division to each pair: 1. 18 and 27: - Divide the larger number by the smaller number:- 27 ÷ 18 = 1 with a remainder of 9- Now, divide the divisor of the previous step by the remainder:- 18 ÷ 9 = 2- Since the remainder is 0, the GCF of 18 and 27 is 9.2. 20 and 30: - Divide the larger number by the smaller number:- 30 ÷ 20 = 1 with a remainder of 10- Now, divide the divisor of the previous step by the remainder:- 20 ÷ 10 = 2- Since the remainder is 0, the GCF of 20 and 30 is 10.3. 32 and 34: - Divide the larger number by the smaller number:- 34 ÷ 32 = 1 with a remainder of 2- Now, divide the divisor of the previous step by the remainder:- 32 ÷ 2 = 16- Since the remainder is 0, the GCF of 32 and 34 is 2.4. 36 and 45: - Divide the larger number by the smaller number:- 45 ÷ 36 = 1 with a remainder of 9- Now, divide the divisor of the previous step by the remainder:- 36 ÷ 9 = 4- Since the remainder is 0, the GCF of 36 and 45 is 9.5. 63 and 72: - Divide the larger number by the smaller number:- 72 ÷ 63 = 1 with a remainder of 9- Now, divide the divisor of the previous step by the remainder:- 63 ÷ 9 = 7- Since the remainder is 0, the GCF of 63 and 72 is 9. Therefore, the greatest common factors (GCF) for the given number pairs are: 1. GCF(18, 27) = 92. GCF(20, 30) = 103. GCF(32, 34) = 24. GCF(36, 45) = 95. GCF(63, 72) = 9

Answered by trishabaylon60 | 2024-09-04