Question

1. find the gcf for each pair of numbers. then, use the gcf and the dis property to find the sum of each pair of numbers.

a. 25 and 50
b. 7 and 49

Explanation:

Step1: Find GCF of 25 and 50

Factors of 25: $1, 5, 25$; Factors of 50: $1, 2, 5, 10, 25, 50$. GCF = $25$

Step2: Rewrite sum with distributive property

$25 + 50 = 25(1 + 2)$

Step3: Calculate the sum

$25 \times 3 = 75$

Step4: Find GCF of 7 and 49

Factors of 7: $1, 7$; Factors of 49: $1, 7, 49$. GCF = $7$

Step5: Rewrite sum with distributive property

$7 + 49 = 7(1 + 7)$

Step6: Calculate the sum

$7 \times 8 = 56$

Answer:

a. GCF = 25; Sum = 75
b. GCF = 7; Sum = 56