The greatest number that exactly divides, 105, 1001 and 2436 is-
Created: 2 years ago |
Updated: 8 months ago
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To find the greatest number that exactly divides 105, 1001, and 2436, you can calculate the greatest common divisor (GCD) of these numbers.
GCD of 105 and 1001:
- Prime factorization of 105: 3 * 5 * 7
- Prime factorization of 1001: 7 * 11 * 13
- The common prime factor between 105 and 1001 is 7.
- Therefore, GCD(105, 1001) = 7
GCD of GCD(105, 1001) and 2436:
- Prime factorization of 2436: 2^2 * 3 * 7 * 29
- The common prime factor between GCD(105, 1001) and 2436 is 7 (since 7 is the GCD of 105 and 1001).
- Therefore, GCD(GCD(105, 1001), 2436) = 7
So, the greatest number that exactly divides 105, 1001, and 2436 is indeed 7.
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