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GCD of 838, 424, 736, 452 Calculator

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


Online GCD Calculator is useful to find the GCD of 838, 424, 736, 452 quickly. Get the easiest ways to solve the greatest common divisor of 838, 424, 736, 452 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 424, 736, 452 with Factoring?

Given Input numbers are 838, 424, 736, 452

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

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 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452


GCD of numbers is the greatest common divisor

So, the GCD (838, 424, 736, 452) = 2.

Find GCD of 838, 424, 736, 452 using Prime Factorization

Given numbers are 838, 424, 736, 452

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 424 are 2 x 2 x 2 x 53

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

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 21

Therefore, GCD of 838, 424, 736, 452 is 2.

Steps to Calculate GCD of 838, 424, 736, 452 using LCM Formula

Given numbers are 838, 424, 736, 452

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

Apply this formula for all numbers.

Step1:

LCM(838, 424) = 177656

GCD(838, 424) = ( 838 x 424 ) / 177656

= 838 / 424

= 838


Step2:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2


Step3:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2


So, Greatest Common Divisor of 838, 424, 736, 452 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 424, 736, 452

Given numbers are 838, 424, 736, 452
The greatest common divisor of numbers 838, 424, 736, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 424, 736, 452 is 2.

FAQs on GCD of 838, 424, 736, 452 Calculator

1. What is the GCD of 838, 424, 736, 452?

GCD of given numbers 838, 424, 736, 452 is 2


2. How to calculate the greatest common divisor of 838, 424, 736, 452?

We can find the highest common divisor of 838, 424, 736, 452 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 838, 424, 736, 452 i.e 2.


3. How can I use the GCD of 838, 424, 736, 452Calculator?

Out the numbers 838, 424, 736, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.