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To find the HCF of two numbers you first have to split them into their prime factors:
45 = 3x3x5
36 = 2x2x3x3
The next step is to identify any common prime factors. In this example, both numbers have two 3s as prime factors. Multiply these together and you get:
3x3 = 9
Thus the hcf of 45 and 36 is 9.
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