Online GCD Calculator is useful to find the GCD of 567, 492, 756, 313 quickly. Get the easiest ways to solve the greatest common divisor of 567, 492, 756, 313 i.e 1 in different methods as follows.
Given Input numbers are 567, 492, 756, 313
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (567, 492, 756, 313) = 1.
Given numbers are 567, 492, 756, 313
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 567, 492, 756, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 492) = 92988
GCD(567, 492) = ( 567 x 492 ) / 92988
= 567 / 492
= 567
Step2:
LCM(3, 756) = 756
GCD(3, 756) = ( 3 x 756 ) / 756
= 3 / 756
= 3
Step3:
LCM(3, 313) = 939
GCD(3, 313) = ( 3 x 313 ) / 939
= 3 / 313
= 3
So, Greatest Common Divisor of 567, 492, 756, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 492, 756, 313
The greatest common divisor of numbers 567, 492, 756, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 492, 756, 313 is 1.
1. What is the GCD of 567, 492, 756, 313?
GCD of given numbers 567, 492, 756, 313 is 1
2. How to calculate the greatest common divisor of 567, 492, 756, 313?
We can find the highest common divisor of 567, 492, 756, 313 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 567, 492, 756, 313 i.e 1.
3. How can I use the GCD of 567, 492, 756, 313Calculator?
Out the numbers 567, 492, 756, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.