GCD of 236, 120, 756 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 236, 120, 756 quickly. Get the easiest ways to solve the greatest common divisor of 236, 120, 756 i.e 4 in different methods as follows.
Given Input numbers are 236, 120, 756
In the factoring method, we have to find the divisors of all numbers
Divisors of 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 (236, 120, 756) = 4.
Given numbers are 236, 120, 756
The list of prime factors of all numbers are
Prime factors of 236 are 2 x 2 x 59
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
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 236, 120, 756 is 4.
Steps to Calculate GCD of 236, 120, 756 using LCM Formula
Given numbers are 236, 120, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(236, 120) = 7080
GCD(236, 120) = ( 236 x 120 ) / 7080
= 236 / 120
= 236
Step2:
LCM(4, 756) = 756
GCD(4, 756) = ( 4 x 756 ) / 756
= 4 / 756
= 4
So, Greatest Common Divisor of 236, 120, 756 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 236, 120, 756
Given numbers are 236, 120, 756
The greatest common divisor of numbers 236, 120, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 236, 120, 756 is 4.
FAQs on GCD of 236, 120, 756 Calculator
1. What is the GCD of 236, 120, 756?
GCD of given numbers 236, 120, 756 is 4
2. How to calculate the greatest common divisor of 236, 120, 756?
We can find the highest common divisor of 236, 120, 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 236, 120, 756 i.e 4.
3. How can I use the GCD of 236, 120, 756Calculator?
Out the numbers 236, 120, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.