GCD of 957, 960, 297 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 957, 960, 297 quickly. Get the easiest ways to solve the greatest common divisor of 957, 960, 297 i.e 3 in different methods as follows.
Given Input numbers are 957, 960, 297
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 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
GCD of numbers is the greatest common divisor
So, the GCD (957, 960, 297) = 3.
Given numbers are 957, 960, 297
The list of prime factors of all numbers are
Prime factors of 957 are 3 x 11 x 29
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 297 are 3 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 957, 960, 297 is 3.
Steps to Calculate GCD of 957, 960, 297 using LCM Formula
Given numbers are 957, 960, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(957, 960) = 306240
GCD(957, 960) = ( 957 x 960 ) / 306240
= 957 / 960
= 957
Step2:
LCM(3, 297) = 297
GCD(3, 297) = ( 3 x 297 ) / 297
= 3 / 297
= 3
So, Greatest Common Divisor of 957, 960, 297 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 957, 960, 297
Given numbers are 957, 960, 297
The greatest common divisor of numbers 957, 960, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 960, 297 is 3.
FAQs on GCD of 957, 960, 297 Calculator
1. What is the GCD of 957, 960, 297?
GCD of given numbers 957, 960, 297 is 3
2. How to calculate the greatest common divisor of 957, 960, 297?
We can find the highest common divisor of 957, 960, 297 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, 960, 297 i.e 3.
3. How can I use the GCD of 957, 960, 297Calculator?
Out the numbers 957, 960, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.