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GCD of 936, 820, 746, 718 Calculator

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


Online GCD Calculator is useful to find the GCD of 936, 820, 746, 718 quickly. Get the easiest ways to solve the greatest common divisor of 936, 820, 746, 718 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 936, 820, 746, 718 with Factoring?

Given Input numbers are 936, 820, 746, 718

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

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718


GCD of numbers is the greatest common divisor

So, the GCD (936, 820, 746, 718) = 2.

Find GCD of 936, 820, 746, 718 using Prime Factorization

Given numbers are 936, 820, 746, 718

The list of prime factors of all numbers are

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

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 746 are 2 x 373

Prime factors of 718 are 2 x 359

The highest common occurrence is 21

Therefore, GCD of 936, 820, 746, 718 is 2.

Steps to Calculate GCD of 936, 820, 746, 718 using LCM Formula

Given numbers are 936, 820, 746, 718

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

Apply this formula for all numbers.

Step1:

LCM(936, 820) = 191880

GCD(936, 820) = ( 936 x 820 ) / 191880

= 936 / 820

= 936


Step2:

LCM(4, 746) = 1492

GCD(4, 746) = ( 4 x 746 ) / 1492

= 4 / 746

= 4


Step3:

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

= 2 / 718

= 2


So, Greatest Common Divisor of 936, 820, 746, 718 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 936, 820, 746, 718

Given numbers are 936, 820, 746, 718
The greatest common divisor of numbers 936, 820, 746, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 820, 746, 718 is 2.

FAQs on GCD of 936, 820, 746, 718 Calculator

1. What is the GCD of 936, 820, 746, 718?

GCD of given numbers 936, 820, 746, 718 is 2


2. How to calculate the greatest common divisor of 936, 820, 746, 718?

We can find the highest common divisor of 936, 820, 746, 718 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 936, 820, 746, 718 i.e 2.


3. How can I use the GCD of 936, 820, 746, 718Calculator?

Out the numbers 936, 820, 746, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.