Online GCD Calculator is useful to find the GCD of 968, 422, 664, 874 quickly. Get the easiest ways to solve the greatest common divisor of 968, 422, 664, 874 i.e 2 in different methods as follows.
Given Input numbers are 968, 422, 664, 874
In the factoring method, we have to find the divisors of all numbers
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
GCD of numbers is the greatest common divisor
So, the GCD (968, 422, 664, 874) = 2.
Given numbers are 968, 422, 664, 874
The list of prime factors of all numbers are
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 422 are 2 x 211
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 874 are 2 x 19 x 23
The highest common occurrence is 21
Therefore, GCD of 968, 422, 664, 874 is 2.
Given numbers are 968, 422, 664, 874
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(968, 422) = 204248
GCD(968, 422) = ( 968 x 422 ) / 204248
= 968 / 422
= 968
Step2:
LCM(2, 664) = 664
GCD(2, 664) = ( 2 x 664 ) / 664
= 2 / 664
= 2
Step3:
LCM(2, 874) = 874
GCD(2, 874) = ( 2 x 874 ) / 874
= 2 / 874
= 2
So, Greatest Common Divisor of 968, 422, 664, 874 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 968, 422, 664, 874
The greatest common divisor of numbers 968, 422, 664, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 422, 664, 874 is 2.
1. What is the GCD of 968, 422, 664, 874?
GCD of given numbers 968, 422, 664, 874 is 2
2. How to calculate the greatest common divisor of 968, 422, 664, 874?
We can find the highest common divisor of 968, 422, 664, 874 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 968, 422, 664, 874 i.e 2.
3. How can I use the GCD of 968, 422, 664, 874Calculator?
Out the numbers 968, 422, 664, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.