Question

Prove that if a|n and b|n and gcd(a,b) = 1 then ab|n.

Prove that if a|n and b|n and gcd(a,b) = 1 then ab|n.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
prove that if gcd(a,b)=1 then gcd (a-b,a+b,ab)=1
prove that if gcd(a,b)=1 then gcd (a-b,a+b,ab)=1
Given that the gcd(a, m) =1 and gcd(b, m) = 1. Prove that gcd(ab, m) =1
Given that the gcd(a, m) =1 and gcd(b, m) = 1. Prove that gcd(ab, m) =1
4. Let a, b, c be integers. (a) Prove if gcd(ab, c) = 1, then gcd(a,...
4. Let a, b, c be integers. (a) Prove if gcd(ab, c) = 1, then gcd(a, c) = 1 and gcd(b, c) = 1. (Hint: use the GCD characterization theorem.) (b) Prove if gcd(a, c) = 1 and gcd(b, c) = 1, then gcd(ab, c) = 1. (Hint: you can use the GCD characterization theorem again but you may need to multiply equations.) (c) You have now proved that “gcd(a, c) = 1 and gcd(b, c) = 1 if and...
Prove that for positive integers a and b, gcd(a,b)lcm(a,b) = ab. There are nice proofs that...
Prove that for positive integers a and b, gcd(a,b)lcm(a,b) = ab. There are nice proofs that do not use the prime factorizations of a and b.
Prove that if gcd(a,b)=1 and c|(a+b), then gcd(a,c)=gcd(b,c)=1.
Prove that if gcd(a,b)=1 and c|(a+b), then gcd(a,c)=gcd(b,c)=1.
Let |a| = n. Prove that <a^i> = <a^j> if and only if gcd(n,i) = gcd...
Let |a| = n. Prove that <a^i> = <a^j> if and only if gcd(n,i) = gcd (n,j) and |a^i| = |a^j| if and only if gcd(n,i) = gcd(n,j).
Assume that gcd(a, m) = 1, gcd(a, n) = 1, and gcd(m, n) = 1. Assume...
Assume that gcd(a, m) = 1, gcd(a, n) = 1, and gcd(m, n) = 1. Assume that a has order s modulo m and order t modulo n. What is the order of a modulo mn? Prove that your answer is correct
(§2.1) Let a,b,p,n ∈Z with n > 1. (a) Prove or disprove: If ab ≡ 0...
(§2.1) Let a,b,p,n ∈Z with n > 1. (a) Prove or disprove: If ab ≡ 0 (mod n), then a ≡ 0 (mod n) or b ≡ 0 (mod n). (b) Prove or disprove: Suppose p is a positive prime. If ab ≡ 0 (mod p), then a ≡ 0 (mod p) or b ≡ 0 (mod p).
(a) Let N be an even integer, prove that GCD (N + 2, N) = 2....
(a) Let N be an even integer, prove that GCD (N + 2, N) = 2. (b) What’s the GCD (N + 2, N) if N is an odd integer?
Prove that if a > b then gcd(a, b) = gcd(b, a mod b).
Prove that if a > b then gcd(a, b) = gcd(b, a mod b).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT