Using my knowledge of greatest common factors and the distributive property, I can tell that 45 + 63 is equal to 9(5 + 7) or 9 x 12, which is 108. Of course, I could also tell that from my knowledge of addition.
(3 x 12) + (4 x 12) = 7 x 12 = 84
(21 x 2) + (25 x 2) = 46 x 2 = 92
The GCF is 16.
The GCF of 24 and 30 is 6. The distributive property states that 24 x 30 = (20 x 30) + (4 x 30)
You need at least two numbers to find a GCF.
28ab
Suppose x and y are two terms with GCF k where the assumption (in this context) is that k is greater than 1. That implies that x = pk and y = qk where p and q are coprime terms. Then x + y = pk + qk and, using the distributive property, this is k*(p + q).
(3 x 12) + (4 x 12) = 7 x 12 = 84
(21 x 2) + (25 x 2) = 46 x 2 = 92
The GCF is 16.
4(7 + 5)
The GCF of 24 and 30 is 6. The distributive property states that 24 x 30 = (20 x 30) + (4 x 30)
You need at least two numbers to find a GCF.
5u4x6
The GCF of 24 and 64 is 8. You use the distributive property to show another way to write the sum. 8(3 + 8)
The GCF is 18. The Distributive property states that 36 x (50 + 4) = (36 x 50) + (36 x 4)
Since 18 is a factor of 36, it is automatically the GCF of this problem.