Q: How do you work out the hcf of 63?

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The GCF/HCF of 36 and 63 is 9.The LCM of 36 and 63 is 252.

You need at least two numbers to find a GCF.

The factors of 45 are: 1, 3, 5, 9, 15, 45 The factors of 63 are: 1, 3, 7, 9, 21, 63

To find the highest common factor (hcf) of 2 numbers you need to consider the list of factors for each number. Finding factors is easier if you think about them in pairs (the two factors that have the original number as their product) and start with the lowest first (i.e. 1 and itself then consider 2, 3 etc.) Factors of 34 are: 1 and 34; 2 and 17 The factors of 63 are: 1 and 63; 3 and 21; 7 and 9 Now identify any numbers that are in both lists of factors - these are common factors and the highest value one is the hcf. In this case there is only one cf so 1 is the hcf of 34 and 63.

gcf(27, 45, 63) = 9. 27 = 3 x 3 x 3 45 = 3 x 3 x 5 63 = 3 x 3 x 7 hcf = 3 x 3 = 9

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7

7

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HCF of 27,63,207

63 is the HCF

The GCF is 9.