GCD of 957, 696, 165 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 957, 696, 165 quickly. Get the easiest ways to solve the greatest common divisor of 957, 696, 165 i.e 3 in different methods as follows.
Given Input numbers are 957, 696, 165
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (957, 696, 165) = 3.
Given numbers are 957, 696, 165
The list of prime factors of all numbers are
Prime factors of 957 are 3 x 11 x 29
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 165 are 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 957, 696, 165 is 3.
Steps to Calculate GCD of 957, 696, 165 using LCM Formula
Given numbers are 957, 696, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(957, 696) = 7656
GCD(957, 696) = ( 957 x 696 ) / 7656
= 957 / 696
= 957
Step2:
LCM(87, 165) = 4785
GCD(87, 165) = ( 87 x 165 ) / 4785
= 87 / 165
= 87
So, Greatest Common Divisor of 957, 696, 165 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 957, 696, 165
Given numbers are 957, 696, 165
The greatest common divisor of numbers 957, 696, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 696, 165 is 3.
FAQs on GCD of 957, 696, 165 Calculator
1. What is the GCD of 957, 696, 165?
GCD of given numbers 957, 696, 165 is 3
2. How to calculate the greatest common divisor of 957, 696, 165?
We can find the highest common divisor of 957, 696, 165 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, 696, 165 i.e 3.
3. How can I use the GCD of 957, 696, 165Calculator?
Out the numbers 957, 696, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.