Calculate the Greatest Common Factor or GCF of 140, 210 and 315
Sponsors
The instructions to find the GCF of 140, 210 and 315 are the next:
1. Decompose all numbers into prime factors
| 140 | 2 |
| 70 | 2 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 210 | 2 |
| 105 | 3 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 315 | 3 |
| 105 | 3 |
| 35 | 5 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 140 | = | 22 . 5 . 7 |
| Prime factors of 210 | = | 2 . 3 . 5 . 7 |
| Prime factors of 315 | = | 32 . 5 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5 , 7
Common prime factors with the lowest exponent: 51, 71
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. 71 = 35
Also calculates the: