Online GCD Calculator is useful to find the GCD of 202, 564, 316, 872 quickly. Get the easiest ways to solve the greatest common divisor of 202, 564, 316, 872 i.e 2 in different methods as follows.
Given Input numbers are 202, 564, 316, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
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 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (202, 564, 316, 872) = 2.
Given numbers are 202, 564, 316, 872
The list of prime factors of all numbers are
Prime factors of 202 are 2 x 101
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 316 are 2 x 2 x 79
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 202, 564, 316, 872 is 2.
Given numbers are 202, 564, 316, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(202, 564) = 56964
GCD(202, 564) = ( 202 x 564 ) / 56964
= 202 / 564
= 202
Step2:
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
= 2 / 316
= 2
Step3:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
So, Greatest Common Divisor of 202, 564, 316, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 202, 564, 316, 872
The greatest common divisor of numbers 202, 564, 316, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 202, 564, 316, 872 is 2.
1. What is the GCD of 202, 564, 316, 872?
GCD of given numbers 202, 564, 316, 872 is 2
2. How to calculate the greatest common divisor of 202, 564, 316, 872?
We can find the highest common divisor of 202, 564, 316, 872 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 202, 564, 316, 872 i.e 2.
3. How can I use the GCD of 202, 564, 316, 872Calculator?
Out the numbers 202, 564, 316, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.