Computing GCD and LCM with Prime Factorization
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- GCD and LCM stand for greatest common divisor and least common multiple, respectively. The GCD for a set of numbers is largest number such that all the numbers in the set are di…
By Michael Yang
- Greatest common divisor/factor (gcd) of two numbers m,nm,nm,n is the greatest number that divides both mmm and nnn. Least common multiple (lcm) of two numbers m,nm,nm,n is the l…
By Toan Pham
- Let a,b,ca,b,ca,b,c be positive integers. Prove that gcd(a,b,c)=gcd(a,gcd(b,c))=gcd(gcd(a,b),gcd(b,c)).\gcd (a,b,c)= \gcd (a, \gcd (b,c))= \gcd (\gcd (a,b), \gcd (b,c)).gc…
By Toan Pham
- Problem: Let a,b,ca,b,ca,b,c be positive integers. Prove that gcd(a,b,c)=gcd(a,gcd(b,c))=gcd(gcd(a,b),gcd(b,c)).\gcd (a,b,c)= \gcd (a, \gcd (b,c))= \gcd (\gcd (a,b), \gcd …
By Toan Pham
- We've seen a lot of factoring rules and proofs for small numbers, but what about factoring rules for any number? What's the rule for 777? 131313? 617617617? One fun thing we can…
By Liza Sulkin, Alex Federspiel