Find the greatest common divisor of the natural numbers x and y if x = 2 × 3 × 5 and y = 2 × 7 × 13.
| September 6, 2021 | education
In order to find the greatest common divisor of numbers, you need:
1) decompose these numbers into prime factors;
2) write out the same factors;
3) calculate the resulting product.
We have given the decomposition of natural numbers x and y: x = 2 × 3 × 5 and y = 2 × 7 × 13, then the greatest common divisor of the numbers x and y, that is, GCD (x; y) = 2.
Answer: GCD (x; y) = 2.
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