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GCD of 252, 844, 800, 336 Calculator

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


Online GCD Calculator is useful to find the GCD of 252, 844, 800, 336 quickly. Get the easiest ways to solve the greatest common divisor of 252, 844, 800, 336 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 252, 844, 800, 336 with Factoring?

Given Input numbers are 252, 844, 800, 336

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336


GCD of numbers is the greatest common divisor

So, the GCD (252, 844, 800, 336) = 4.

Find GCD of 252, 844, 800, 336 using Prime Factorization

Given numbers are 252, 844, 800, 336

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 844 are 2 x 2 x 211

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 22

Therefore, GCD of 252, 844, 800, 336 is 4.

Steps to Calculate GCD of 252, 844, 800, 336 using LCM Formula

Given numbers are 252, 844, 800, 336

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

Apply this formula for all numbers.

Step1:

LCM(252, 844) = 53172

GCD(252, 844) = ( 252 x 844 ) / 53172

= 252 / 844

= 252


Step2:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4


Step3:

LCM(4, 336) = 336

GCD(4, 336) = ( 4 x 336 ) / 336

= 4 / 336

= 4


So, Greatest Common Divisor of 252, 844, 800, 336 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 252, 844, 800, 336

Given numbers are 252, 844, 800, 336
The greatest common divisor of numbers 252, 844, 800, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 844, 800, 336 is 4.

FAQs on GCD of 252, 844, 800, 336 Calculator

1. What is the GCD of 252, 844, 800, 336?

GCD of given numbers 252, 844, 800, 336 is 4


2. How to calculate the greatest common divisor of 252, 844, 800, 336?

We can find the highest common divisor of 252, 844, 800, 336 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 252, 844, 800, 336 i.e 4.


3. How can I use the GCD of 252, 844, 800, 336Calculator?

Out the numbers 252, 844, 800, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.