Online GCD Calculator is useful to find the GCD of 564, 702, 311, 643 quickly. Get the easiest ways to solve the greatest common divisor of 564, 702, 311, 643 i.e 1 in different methods as follows.
Given Input numbers are 564, 702, 311, 643
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 643 :
The positive integer divisors of 643 that completely divides 643 are.
1, 643
GCD of numbers is the greatest common divisor
So, the GCD (564, 702, 311, 643) = 1.
Given numbers are 564, 702, 311, 643
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 311 are 311
Prime factors of 643 are 643
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 564, 702, 311, 643
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 702) = 65988
GCD(564, 702) = ( 564 x 702 ) / 65988
= 564 / 702
= 564
Step2:
LCM(6, 311) = 1866
GCD(6, 311) = ( 6 x 311 ) / 1866
= 6 / 311
= 6
Step3:
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
= 1 / 643
= 1
So, Greatest Common Divisor of 564, 702, 311, 643 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 702, 311, 643
The greatest common divisor of numbers 564, 702, 311, 643 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 702, 311, 643 is 1.
1. What is the GCD of 564, 702, 311, 643?
GCD of given numbers 564, 702, 311, 643 is 1
2. How to calculate the greatest common divisor of 564, 702, 311, 643?
We can find the highest common divisor of 564, 702, 311, 643 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 564, 702, 311, 643 i.e 1.
3. How can I use the GCD of 564, 702, 311, 643Calculator?
Out the numbers 564, 702, 311, 643 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.