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GCD of 252, 508, 296, 236 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, 508, 296, 236 quickly. Get the easiest ways to solve the greatest common divisor of 252, 508, 296, 236 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 252, 508, 296, 236 with Factoring?

Given Input numbers are 252, 508, 296, 236

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236


GCD of numbers is the greatest common divisor

So, the GCD (252, 508, 296, 236) = 4.

Find GCD of 252, 508, 296, 236 using Prime Factorization

Given numbers are 252, 508, 296, 236

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 508 are 2 x 2 x 127

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 236 are 2 x 2 x 59

The highest common occurrence is 22

Therefore, GCD of 252, 508, 296, 236 is 4.

Steps to Calculate GCD of 252, 508, 296, 236 using LCM Formula

Given numbers are 252, 508, 296, 236

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

Apply this formula for all numbers.

Step1:

LCM(252, 508) = 32004

GCD(252, 508) = ( 252 x 508 ) / 32004

= 252 / 508

= 252


Step2:

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

= 4 / 296

= 4


Step3:

LCM(4, 236) = 236

GCD(4, 236) = ( 4 x 236 ) / 236

= 4 / 236

= 4


So, Greatest Common Divisor of 252, 508, 296, 236 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 252, 508, 296, 236

Given numbers are 252, 508, 296, 236
The greatest common divisor of numbers 252, 508, 296, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 508, 296, 236 is 4.

FAQs on GCD of 252, 508, 296, 236 Calculator

1. What is the GCD of 252, 508, 296, 236?

GCD of given numbers 252, 508, 296, 236 is 4


2. How to calculate the greatest common divisor of 252, 508, 296, 236?

We can find the highest common divisor of 252, 508, 296, 236 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, 508, 296, 236 i.e 4.


3. How can I use the GCD of 252, 508, 296, 236Calculator?

Out the numbers 252, 508, 296, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.