Online GCD Calculator is useful to find the GCD of 968, 194, 748, 924 quickly. Get the easiest ways to solve the greatest common divisor of 968, 194, 748, 924 i.e 2 in different methods as follows.
Given Input numbers are 968, 194, 748, 924
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 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
GCD of numbers is the greatest common divisor
So, the GCD (968, 194, 748, 924) = 2.
Given numbers are 968, 194, 748, 924
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 194 are 2 x 97
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 968, 194, 748, 924 is 2.
Given numbers are 968, 194, 748, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(968, 194) = 93896
GCD(968, 194) = ( 968 x 194 ) / 93896
= 968 / 194
= 968
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
Step3:
LCM(2, 924) = 924
GCD(2, 924) = ( 2 x 924 ) / 924
= 2 / 924
= 2
So, Greatest Common Divisor of 968, 194, 748, 924 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 968, 194, 748, 924
The greatest common divisor of numbers 968, 194, 748, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 194, 748, 924 is 2.
1. What is the GCD of 968, 194, 748, 924?
GCD of given numbers 968, 194, 748, 924 is 2
2. How to calculate the greatest common divisor of 968, 194, 748, 924?
We can find the highest common divisor of 968, 194, 748, 924 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, 194, 748, 924 i.e 2.
3. How can I use the GCD of 968, 194, 748, 924Calculator?
Out the numbers 968, 194, 748, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.