GCD of 960, 428, 756 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 960, 428, 756 quickly. Get the easiest ways to solve the greatest common divisor of 960, 428, 756 i.e 4 in different methods as follows.
Given Input numbers are 960, 428, 756
In the factoring method, we have to find the divisors of all numbers
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 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
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
GCD of numbers is the greatest common divisor
So, the GCD (960, 428, 756) = 4.
Given numbers are 960, 428, 756
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 428 are 2 x 2 x 107
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 960, 428, 756 is 4.
Steps to Calculate GCD of 960, 428, 756 using LCM Formula
Given numbers are 960, 428, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 428) = 102720
GCD(960, 428) = ( 960 x 428 ) / 102720
= 960 / 428
= 960
Step2:
LCM(4, 756) = 756
GCD(4, 756) = ( 4 x 756 ) / 756
= 4 / 756
= 4
So, Greatest Common Divisor of 960, 428, 756 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 960, 428, 756
Given numbers are 960, 428, 756
The greatest common divisor of numbers 960, 428, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 428, 756 is 4.
FAQs on GCD of 960, 428, 756 Calculator
1. What is the GCD of 960, 428, 756?
GCD of given numbers 960, 428, 756 is 4
2. How to calculate the greatest common divisor of 960, 428, 756?
We can find the highest common divisor of 960, 428, 756 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 960, 428, 756 i.e 4.
3. How can I use the GCD of 960, 428, 756Calculator?
Out the numbers 960, 428, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.