GCD of 957, 814, 968 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 957, 814, 968 quickly. Get the easiest ways to solve the greatest common divisor of 957, 814, 968 i.e 11 in different methods as follows.
Given Input numbers are 957, 814, 968
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 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
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
GCD of numbers is the greatest common divisor
So, the GCD (957, 814, 968) = 11.
Given numbers are 957, 814, 968
The list of prime factors of all numbers are
Prime factors of 957 are 3 x 11 x 29
Prime factors of 814 are 2 x 11 x 37
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
The highest common occurrence is 111
Therefore, GCD of 957, 814, 968 is 11.
Steps to Calculate GCD of 957, 814, 968 using LCM Formula
Given numbers are 957, 814, 968
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(957, 814) = 70818
GCD(957, 814) = ( 957 x 814 ) / 70818
= 957 / 814
= 957
Step2:
LCM(11, 968) = 968
GCD(11, 968) = ( 11 x 968 ) / 968
= 11 / 968
= 11
So, Greatest Common Divisor of 957, 814, 968 is 11
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 957, 814, 968
Given numbers are 957, 814, 968
The greatest common divisor of numbers 957, 814, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 814, 968 is 11.
FAQs on GCD of 957, 814, 968 Calculator
1. What is the GCD of 957, 814, 968?
GCD of given numbers 957, 814, 968 is 11
2. How to calculate the greatest common divisor of 957, 814, 968?
We can find the highest common divisor of 957, 814, 968 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, 814, 968 i.e 11.
3. How can I use the GCD of 957, 814, 968Calculator?
Out the numbers 957, 814, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.