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GCD of 780, 108, 736, 936 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 780, 108, 736, 936 quickly. Get the easiest ways to solve the greatest common divisor of 780, 108, 736, 936 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 108, 736, 936 with Factoring?

Given Input numbers are 780, 108, 736, 936

In the factoring method, we have to find the divisors of all numbers

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936


GCD of numbers is the greatest common divisor

So, the GCD (780, 108, 736, 936) = 4.

Find GCD of 780, 108, 736, 936 using Prime Factorization

Given numbers are 780, 108, 736, 936

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The highest common occurrence is 22

Therefore, GCD of 780, 108, 736, 936 is 4.

Steps to Calculate GCD of 780, 108, 736, 936 using LCM Formula

Given numbers are 780, 108, 736, 936

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(780, 108) = 7020

GCD(780, 108) = ( 780 x 108 ) / 7020

= 780 / 108

= 780


Step2:

LCM(12, 736) = 2208

GCD(12, 736) = ( 12 x 736 ) / 2208

= 12 / 736

= 12


Step3:

LCM(4, 936) = 936

GCD(4, 936) = ( 4 x 936 ) / 936

= 4 / 936

= 4


So, Greatest Common Divisor of 780, 108, 736, 936 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 108, 736, 936

Given numbers are 780, 108, 736, 936
The greatest common divisor of numbers 780, 108, 736, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 108, 736, 936 is 4.

FAQs on GCD of 780, 108, 736, 936 Calculator

1. What is the GCD of 780, 108, 736, 936?

GCD of given numbers 780, 108, 736, 936 is 4


2. How to calculate the greatest common divisor of 780, 108, 736, 936?

We can find the highest common divisor of 780, 108, 736, 936 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 780, 108, 736, 936 i.e 4.


3. How can I use the GCD of 780, 108, 736, 936Calculator?

Out the numbers 780, 108, 736, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.