**Using the distributive property :**

We can use the distributive property to rewrite a sum of two or more numbers as a product of their GCF and a sum of numbers with no common factor other than 1.

**Example 1 : **

Write the sum of the numbers as the product of their gcf and another sum 49 + 63

**Solution :**

To write the sum of two numbers as the product of their GCF and another sum, first we have find the GCF of both given numbers.

We cannot divide 7 and 9 by any common divisor other than 1. So 7 is the GCF of 49 and 63.

Now let us split both numbers as the product of 7.

49 = 7 x 7

63 = 7 x 9

49 + 63 = (7 x 7) + (7 x 9)

= 7 (7 + 9)

**Example 2 : **

Write the sum of the numbers as the product of their gcf and another sum 56 + 64

**Solution :**

To write the sum of two numbers as the product of their GCF and another sum, first we have find the GCF of both given numbers.

GCF of 56 and 64 = 8

56 = 8 x 7

64 = 8 x 8

56 + 64 = (8 x 7) + (8 x 8)

= 8 (7 + 8)

**Example 3 : **

Write the sum of the numbers as the product of their gcf and another sum 30 + 54

**Solution :**

To write the sum of two numbers as the product of their GCF and another sum, first we have find the GCF of both given numbers.

GCF of 30 and 54 = 6

30 = 6 x 5

54 = 6 x 9

30 + 54 = (6 x 5) + (6 x 9)

= 6 (5 + 9)

**Example 4 : **

Write the sum of the numbers as the product of their gcf and another sum 48 + 14

**Solution :**

GCF of 48 and 14 = 2

48 = 2 x 24

14 = 2 x 7

48 + 14 = (2 x 24) + (2 x 7)

= 2 (24 + 7)

**Example 5 : **

Write the sum of the numbers as the product of their gcf and another sum 36 + 45

**Solution :**

GCF of 36 and 45 = 9

36 = 9 x 4

45 = 9 x 5

36 + 45 = (9 x 4) + (9 x 5)

= 9 (4 + 5)

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