GCD of 957, 478, 314, 331 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 957, 478, 314, 331 quickly. Get the easiest ways to solve the greatest common divisor of 957, 478, 314, 331 i.e 1 in different methods as follows.
Given Input numbers are 957, 478, 314, 331
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 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
GCD of numbers is the greatest common divisor
So, the GCD (957, 478, 314, 331) = 1.
Given numbers are 957, 478, 314, 331
The list of prime factors of all numbers are
Prime factors of 957 are 3 x 11 x 29
Prime factors of 478 are 2 x 239
Prime factors of 314 are 2 x 157
Prime factors of 331 are 331
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 957, 478, 314, 331 using LCM Formula
Given numbers are 957, 478, 314, 331
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(957, 478) = 457446
GCD(957, 478) = ( 957 x 478 ) / 457446
= 957 / 478
= 957
Step2:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
Step3:
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
= 1 / 331
= 1
So, Greatest Common Divisor of 957, 478, 314, 331 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 957, 478, 314, 331
Given numbers are 957, 478, 314, 331
The greatest common divisor of numbers 957, 478, 314, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 478, 314, 331 is 1.
FAQs on GCD of 957, 478, 314, 331 Calculator
1. What is the GCD of 957, 478, 314, 331?
GCD of given numbers 957, 478, 314, 331 is 1
2. How to calculate the greatest common divisor of 957, 478, 314, 331?
We can find the highest common divisor of 957, 478, 314, 331 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, 478, 314, 331 i.e 1.
3. How can I use the GCD of 957, 478, 314, 331Calculator?
Out the numbers 957, 478, 314, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.