Online GCD Calculator is useful to find the GCD of 957, 312, 726, 771 quickly. Get the easiest ways to solve the greatest common divisor of 957, 312, 726, 771 i.e 3 in different methods as follows.
Given Input numbers are 957, 312, 726, 771
In the factoring method, we have to find the divisors of all numbers
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
GCD of numbers is the greatest common divisor
So, the GCD (957, 312, 726, 771) = 3.
Given numbers are 957, 312, 726, 771
The list of prime factors of all numbers are
Prime factors of 957 are 3 x 11 x 29
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 771 are 3 x 257
The highest common occurrence is 31
Therefore, GCD of 957, 312, 726, 771 is 3.
Given numbers are 957, 312, 726, 771
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(957, 312) = 99528
GCD(957, 312) = ( 957 x 312 ) / 99528
= 957 / 312
= 957
Step2:
LCM(3, 726) = 726
GCD(3, 726) = ( 3 x 726 ) / 726
= 3 / 726
= 3
Step3:
LCM(3, 771) = 771
GCD(3, 771) = ( 3 x 771 ) / 771
= 3 / 771
= 3
So, Greatest Common Divisor of 957, 312, 726, 771 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 957, 312, 726, 771
The greatest common divisor of numbers 957, 312, 726, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 312, 726, 771 is 3.
1. What is the GCD of 957, 312, 726, 771?
GCD of given numbers 957, 312, 726, 771 is 3
2. How to calculate the greatest common divisor of 957, 312, 726, 771?
We can find the highest common divisor of 957, 312, 726, 771 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 957, 312, 726, 771 i.e 3.
3. How can I use the GCD of 957, 312, 726, 771Calculator?
Out the numbers 957, 312, 726, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.