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GCD of 746, 520, 916, 836 Calculator

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


Online GCD Calculator is useful to find the GCD of 746, 520, 916, 836 quickly. Get the easiest ways to solve the greatest common divisor of 746, 520, 916, 836 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 746, 520, 916, 836 with Factoring?

Given Input numbers are 746, 520, 916, 836

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

Divisors of 746 :

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

1, 2, 373, 746

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836


GCD of numbers is the greatest common divisor

So, the GCD (746, 520, 916, 836) = 2.

Find GCD of 746, 520, 916, 836 using Prime Factorization

Given numbers are 746, 520, 916, 836

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 916 are 2 x 2 x 229

Prime factors of 836 are 2 x 2 x 11 x 19

The highest common occurrence is 21

Therefore, GCD of 746, 520, 916, 836 is 2.

Steps to Calculate GCD of 746, 520, 916, 836 using LCM Formula

Given numbers are 746, 520, 916, 836

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

Apply this formula for all numbers.

Step1:

LCM(746, 520) = 193960

GCD(746, 520) = ( 746 x 520 ) / 193960

= 746 / 520

= 746


Step2:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2


Step3:

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

= 2 / 836

= 2


So, Greatest Common Divisor of 746, 520, 916, 836 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 746, 520, 916, 836

Given numbers are 746, 520, 916, 836
The greatest common divisor of numbers 746, 520, 916, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 520, 916, 836 is 2.

FAQs on GCD of 746, 520, 916, 836 Calculator

1. What is the GCD of 746, 520, 916, 836?

GCD of given numbers 746, 520, 916, 836 is 2


2. How to calculate the greatest common divisor of 746, 520, 916, 836?

We can find the highest common divisor of 746, 520, 916, 836 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 746, 520, 916, 836 i.e 2.


3. How can I use the GCD of 746, 520, 916, 836Calculator?

Out the numbers 746, 520, 916, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.