Calculate the Greatest Common Factor or GCF of 375, 400 and 440
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The instructions to find the GCF of 375, 400 and 440 are the next:
1. Decompose all numbers into prime factors
375 | 3 |
125 | 5 |
25 | 5 |
5 | 5 |
1 |
400 | 2 |
200 | 2 |
100 | 2 |
50 | 2 |
25 | 5 |
5 | 5 |
1 |
440 | 2 |
220 | 2 |
110 | 2 |
55 | 5 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 375 | = | 3 . 53 |
Prime factors of 400 | = | 24 . 52 |
Prime factors of 440 | = | 23 . 5 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5
Common prime factors with the lowest exponent: 51
4. Calculate the Greatest Common Factor or GCF
Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.
GCF = 51 = 5
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