The HCF of both numbers is 8
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you minus the largest number by the smallest. So 56-48=8. The answer is 8.
When figuring out what number goes both into 56 and 63, you should look at the factor pairs. 56: 1 x 56, 2 x 28, 4 x 14, 7 x 8 63: 1 x 63, 3 x 21, 7 x 9 7 goes into both 56 and 63.
7 and 8 both go into 56
2 is the lowest common multiple of the two but 4 also goes into them both.
The only numbers that can do that are '1' and '7'.