Online GCD Calculator is useful to find the GCD of 231, 852, 507, 564 quickly. Get the easiest ways to solve the greatest common divisor of 231, 852, 507, 564 i.e 3 in different methods as follows.
Given Input numbers are 231, 852, 507, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
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
GCD of numbers is the greatest common divisor
So, the GCD (231, 852, 507, 564) = 3.
Given numbers are 231, 852, 507, 564
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 507 are 3 x 13 x 13
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 231, 852, 507, 564 is 3.
Given numbers are 231, 852, 507, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 852) = 65604
GCD(231, 852) = ( 231 x 852 ) / 65604
= 231 / 852
= 231
Step2:
LCM(3, 507) = 507
GCD(3, 507) = ( 3 x 507 ) / 507
= 3 / 507
= 3
Step3:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
So, Greatest Common Divisor of 231, 852, 507, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 852, 507, 564
The greatest common divisor of numbers 231, 852, 507, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 852, 507, 564 is 3.
1. What is the GCD of 231, 852, 507, 564?
GCD of given numbers 231, 852, 507, 564 is 3
2. How to calculate the greatest common divisor of 231, 852, 507, 564?
We can find the highest common divisor of 231, 852, 507, 564 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 231, 852, 507, 564 i.e 3.
3. How can I use the GCD of 231, 852, 507, 564Calculator?
Out the numbers 231, 852, 507, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.