Calculate the Greatest Common Factor or GCF of 154, 250 and 450
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The instructions to find the GCF of 154, 250 and 450 are the next:
1. Decompose all numbers into prime factors
154 | 2 |
77 | 7 |
11 | 11 |
1 |
250 | 2 |
125 | 5 |
25 | 5 |
5 | 5 |
1 |
450 | 2 |
225 | 3 |
75 | 3 |
25 | 5 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 154 | = | 2 . 7 . 11 |
Prime factors of 250 | = | 2 . 53 |
Prime factors of 450 | = | 2 . 32 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 21 = 2
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