List questions from gcd-and-lcm

Published on 18 Aug 2019 - 20:14

597

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Number of elements of a certain order of a direct product of finite cyclic groups.

Published on 26 Mar 2026 - 6:22

92

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Find the greatest $x$ that divides 14, 19, 25, 52 and leaves remainders 4, 1, 5 and 2, respectively

Published on 22 Aug 2019 - 14:13

1.3k

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Pairs of integer pairs with same lcm, gcd and mean

Published on 23 Aug 2019 - 10:49

450

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Find the greatest common divisor of $2^m+1$ and $2^n+1$ that $m,n$ are positive integers.

Published on 25 Aug 2019 - 10:20

78

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GCD of {0} in integral domains

Published on 25 Mar 2026 - 10:55

569

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partition that maximizes lcm

Published on 26 Mar 2026 - 3:18

529

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GCD expressed with irreducible elements in a unique factorization domain

Published on 25 Mar 2026 - 13:59

49

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Special cases when $\deg(\gcd(f,g)) \in \{0,1\}$

Published on 29 Aug 2019 - 11:42

78

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$\sum_{i=1}^{n} GCD(i + 1, 2)$

Published on 30 Aug 2019 - 13:38

47

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To prove $\gcd\{p^2-1: p $ is a prime $ \geq 7 \}=24$

Published on 26 Mar 2026 - 13:01

292

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Why does ab = nc +1 mean the same as ab $\equiv$ 1 (mod n)?

Published on 01 Sep 2019 - 10:49

128

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Greatest Common Divisor in pair of cycles

Published on 25 Mar 2026 - 17:22

310

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Prove that $n!=\prod_{k=1}^n \operatorname{lcm}(1,2,...,\lfloor n/k \rfloor)$ for any $n \in \mathbb N$

Published on 26 Mar 2026 - 23:10

113

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Divisibility proof for numbers coprime to $6$

Published on 06 Sep 2019 - 19:58

List Question

$\text{lcm}(|g|,|h|) = |G||H|$ implies $|g| = |G|$ and $|h| = |H|$

Number of elements of a certain order of a direct product of finite cyclic groups.

Find the greatest $x$ that divides 14, 19, 25, 52 and leaves remainders 4, 1, 5 and 2, respectively

Pairs of integer pairs with same lcm, gcd and mean

Find the greatest common divisor of $2^m+1$ and $2^n+1$ that $m,n$ are positive integers.

GCD of {0} in integral domains

partition that maximizes lcm

GCD expressed with irreducible elements in a unique factorization domain

Special cases when $\deg(\gcd(f,g)) \in \{0,1\}$

$\sum_{i=1}^{n} GCD(i + 1, 2)$

To prove $\gcd\{p^2-1: p $ is a prime $ \geq 7 \}=24$

Why does ab = nc +1 mean the same as ab $\equiv$ 1 (mod n)?

Greatest Common Divisor in pair of cycles

Prove that $n!=\prod_{k=1}^n \operatorname{lcm}(1,2,...,\lfloor n/k \rfloor)$ for any $n \in \mathbb N$

Divisibility proof for numbers coprime to $6$

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