GCD of 876, 756, 960 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 876, 756, 960 quickly. Get the easiest ways to solve the greatest common divisor of 876, 756, 960 i.e 12 in different methods as follows.
Given Input numbers are 876, 756, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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
GCD of numbers is the greatest common divisor
So, the GCD (876, 756, 960) = 12.
Given numbers are 876, 756, 960
The list of prime factors of all numbers are
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 22 x 31
Therefore, GCD of 876, 756, 960 is 12.
Steps to Calculate GCD of 876, 756, 960 using LCM Formula
Given numbers are 876, 756, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(876, 756) = 55188
GCD(876, 756) = ( 876 x 756 ) / 55188
= 876 / 756
= 876
Step2:
LCM(12, 960) = 960
GCD(12, 960) = ( 12 x 960 ) / 960
= 12 / 960
= 12
So, Greatest Common Divisor of 876, 756, 960 is 12
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 876, 756, 960
Given numbers are 876, 756, 960
The greatest common divisor of numbers 876, 756, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 756, 960 is 12.
FAQs on GCD of 876, 756, 960 Calculator
1. What is the GCD of 876, 756, 960?
GCD of given numbers 876, 756, 960 is 12
2. How to calculate the greatest common divisor of 876, 756, 960?
We can find the highest common divisor of 876, 756, 960 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 876, 756, 960 i.e 12.
3. How can I use the GCD of 876, 756, 960Calculator?
Out the numbers 876, 756, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.