Online GCD Calculator is useful to find the GCD of 968, 160, 742, 922 quickly. Get the easiest ways to solve the greatest common divisor of 968, 160, 742, 922 i.e 2 in different methods as follows.
Given Input numbers are 968, 160, 742, 922
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 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
GCD of numbers is the greatest common divisor
So, the GCD (968, 160, 742, 922) = 2.
Given numbers are 968, 160, 742, 922
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 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 742 are 2 x 7 x 53
Prime factors of 922 are 2 x 461
The highest common occurrence is 21
Therefore, GCD of 968, 160, 742, 922 is 2.
Given numbers are 968, 160, 742, 922
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(968, 160) = 19360
GCD(968, 160) = ( 968 x 160 ) / 19360
= 968 / 160
= 968
Step2:
LCM(8, 742) = 2968
GCD(8, 742) = ( 8 x 742 ) / 2968
= 8 / 742
= 8
Step3:
LCM(2, 922) = 922
GCD(2, 922) = ( 2 x 922 ) / 922
= 2 / 922
= 2
So, Greatest Common Divisor of 968, 160, 742, 922 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 968, 160, 742, 922
The greatest common divisor of numbers 968, 160, 742, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 160, 742, 922 is 2.
1. What is the GCD of 968, 160, 742, 922?
GCD of given numbers 968, 160, 742, 922 is 2
2. How to calculate the greatest common divisor of 968, 160, 742, 922?
We can find the highest common divisor of 968, 160, 742, 922 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, 160, 742, 922 i.e 2.
3. How can I use the GCD of 968, 160, 742, 922Calculator?
Out the numbers 968, 160, 742, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.