Online GCD Calculator is useful to find the GCD of 952, 654, 558, 872 quickly. Get the easiest ways to solve the greatest common divisor of 952, 654, 558, 872 i.e 2 in different methods as follows.
Given Input numbers are 952, 654, 558, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
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 (952, 654, 558, 872) = 2.
Given numbers are 952, 654, 558, 872
The list of prime factors of all numbers are
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 654 are 2 x 3 x 109
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 952, 654, 558, 872 is 2.
Given numbers are 952, 654, 558, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(952, 654) = 311304
GCD(952, 654) = ( 952 x 654 ) / 311304
= 952 / 654
= 952
Step2:
LCM(2, 558) = 558
GCD(2, 558) = ( 2 x 558 ) / 558
= 2 / 558
= 2
Step3:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
So, Greatest Common Divisor of 952, 654, 558, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 952, 654, 558, 872
The greatest common divisor of numbers 952, 654, 558, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 654, 558, 872 is 2.
1. What is the GCD of 952, 654, 558, 872?
GCD of given numbers 952, 654, 558, 872 is 2
2. How to calculate the greatest common divisor of 952, 654, 558, 872?
We can find the highest common divisor of 952, 654, 558, 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 952, 654, 558, 872 i.e 2.
3. How can I use the GCD of 952, 654, 558, 872Calculator?
Out the numbers 952, 654, 558, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.