Online GCD Calculator is useful to find the GCD of 657, 624, 338, 676 quickly. Get the easiest ways to solve the greatest common divisor of 657, 624, 338, 676 i.e 1 in different methods as follows.
Given Input numbers are 657, 624, 338, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (657, 624, 338, 676) = 1.
Given numbers are 657, 624, 338, 676
The list of prime factors of all numbers are
Prime factors of 657 are 3 x 3 x 73
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 338 are 2 x 13 x 13
Prime factors of 676 are 2 x 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 657, 624, 338, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(657, 624) = 136656
GCD(657, 624) = ( 657 x 624 ) / 136656
= 657 / 624
= 657
Step2:
LCM(3, 338) = 1014
GCD(3, 338) = ( 3 x 338 ) / 1014
= 3 / 338
= 3
Step3:
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
= 1 / 676
= 1
So, Greatest Common Divisor of 657, 624, 338, 676 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 657, 624, 338, 676
The greatest common divisor of numbers 657, 624, 338, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 624, 338, 676 is 1.
1. What is the GCD of 657, 624, 338, 676?
GCD of given numbers 657, 624, 338, 676 is 1
2. How to calculate the greatest common divisor of 657, 624, 338, 676?
We can find the highest common divisor of 657, 624, 338, 676 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 657, 624, 338, 676 i.e 1.
3. How can I use the GCD of 657, 624, 338, 676Calculator?
Out the numbers 657, 624, 338, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.