Online GCD Calculator is useful to find the GCD of 344, 682, 315, 921 quickly. Get the easiest ways to solve the greatest common divisor of 344, 682, 315, 921 i.e 1 in different methods as follows.
Given Input numbers are 344, 682, 315, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (344, 682, 315, 921) = 1.
Given numbers are 344, 682, 315, 921
The list of prime factors of all numbers are
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 682 are 2 x 11 x 31
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 921 are 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 344, 682, 315, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(344, 682) = 117304
GCD(344, 682) = ( 344 x 682 ) / 117304
= 344 / 682
= 344
Step2:
LCM(2, 315) = 630
GCD(2, 315) = ( 2 x 315 ) / 630
= 2 / 315
= 2
Step3:
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
= 1 / 921
= 1
So, Greatest Common Divisor of 344, 682, 315, 921 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 344, 682, 315, 921
The greatest common divisor of numbers 344, 682, 315, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 682, 315, 921 is 1.
1. What is the GCD of 344, 682, 315, 921?
GCD of given numbers 344, 682, 315, 921 is 1
2. How to calculate the greatest common divisor of 344, 682, 315, 921?
We can find the highest common divisor of 344, 682, 315, 921 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 344, 682, 315, 921 i.e 1.
3. How can I use the GCD of 344, 682, 315, 921Calculator?
Out the numbers 344, 682, 315, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.