Online GCD Calculator is useful to find the GCD of 156, 108, 957, 891 quickly. Get the easiest ways to solve the greatest common divisor of 156, 108, 957, 891 i.e 3 in different methods as follows.
Given Input numbers are 156, 108, 957, 891
In the factoring method, we have to find the divisors of all numbers
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
GCD of numbers is the greatest common divisor
So, the GCD (156, 108, 957, 891) = 3.
Given numbers are 156, 108, 957, 891
The list of prime factors of all numbers are
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 957 are 3 x 11 x 29
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 156, 108, 957, 891 is 3.
Given numbers are 156, 108, 957, 891
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(156, 108) = 1404
GCD(156, 108) = ( 156 x 108 ) / 1404
= 156 / 108
= 156
Step2:
LCM(12, 957) = 3828
GCD(12, 957) = ( 12 x 957 ) / 3828
= 12 / 957
= 12
Step3:
LCM(3, 891) = 891
GCD(3, 891) = ( 3 x 891 ) / 891
= 3 / 891
= 3
So, Greatest Common Divisor of 156, 108, 957, 891 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 156, 108, 957, 891
The greatest common divisor of numbers 156, 108, 957, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 108, 957, 891 is 3.
1. What is the GCD of 156, 108, 957, 891?
GCD of given numbers 156, 108, 957, 891 is 3
2. How to calculate the greatest common divisor of 156, 108, 957, 891?
We can find the highest common divisor of 156, 108, 957, 891 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 156, 108, 957, 891 i.e 3.
3. How can I use the GCD of 156, 108, 957, 891Calculator?
Out the numbers 156, 108, 957, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.