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GCD of 236, 508, 126, 114 Calculator

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


Online GCD Calculator is useful to find the GCD of 236, 508, 126, 114 quickly. Get the easiest ways to solve the greatest common divisor of 236, 508, 126, 114 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 236, 508, 126, 114 with Factoring?

Given Input numbers are 236, 508, 126, 114

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

Divisors of 236 :

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

1, 2, 4, 59, 118, 236

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114


GCD of numbers is the greatest common divisor

So, the GCD (236, 508, 126, 114) = 2.

Find GCD of 236, 508, 126, 114 using Prime Factorization

Given numbers are 236, 508, 126, 114

The list of prime factors of all numbers are

Prime factors of 236 are 2 x 2 x 59

Prime factors of 508 are 2 x 2 x 127

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 21

Therefore, GCD of 236, 508, 126, 114 is 2.

Steps to Calculate GCD of 236, 508, 126, 114 using LCM Formula

Given numbers are 236, 508, 126, 114

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

Apply this formula for all numbers.

Step1:

LCM(236, 508) = 29972

GCD(236, 508) = ( 236 x 508 ) / 29972

= 236 / 508

= 236


Step2:

LCM(4, 126) = 252

GCD(4, 126) = ( 4 x 126 ) / 252

= 4 / 126

= 4


Step3:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2


So, Greatest Common Divisor of 236, 508, 126, 114 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 236, 508, 126, 114

Given numbers are 236, 508, 126, 114
The greatest common divisor of numbers 236, 508, 126, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 236, 508, 126, 114 is 2.

FAQs on GCD of 236, 508, 126, 114 Calculator

1. What is the GCD of 236, 508, 126, 114?

GCD of given numbers 236, 508, 126, 114 is 2


2. How to calculate the greatest common divisor of 236, 508, 126, 114?

We can find the highest common divisor of 236, 508, 126, 114 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 236, 508, 126, 114 i.e 2.


3. How can I use the GCD of 236, 508, 126, 114Calculator?

Out the numbers 236, 508, 126, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.