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GCD of 136, 956, 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 136, 956, 114 quickly. Get the easiest ways to solve the greatest common divisor of 136, 956, 114 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 136, 956, 114 with Factoring?

Given Input numbers are 136, 956, 114

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

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

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 (136, 956, 114) = 2.

Find GCD of 136, 956, 114 using Prime Factorization

Given numbers are 136, 956, 114

The list of prime factors of all numbers are

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 956 are 2 x 2 x 239

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 21

Therefore, GCD of 136, 956, 114 is 2.

Steps to Calculate GCD of 136, 956, 114 using LCM Formula

Given numbers are 136, 956, 114

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

Apply this formula for all numbers.

Step1:

LCM(136, 956) = 32504

GCD(136, 956) = ( 136 x 956 ) / 32504

= 136 / 956

= 136


Step2:

LCM(4, 114) = 228

GCD(4, 114) = ( 4 x 114 ) / 228

= 4 / 114

= 4


So, Greatest Common Divisor of 136, 956, 114 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 136, 956, 114

Given numbers are 136, 956, 114
The greatest common divisor of numbers 136, 956, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 956, 114 is 2.

FAQs on GCD of 136, 956, 114 Calculator

1. What is the GCD of 136, 956, 114?

GCD of given numbers 136, 956, 114 is 2


2. How to calculate the greatest common divisor of 136, 956, 114?

We can find the highest common divisor of 136, 956, 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 136, 956, 114 i.e 2.


3. How can I use the GCD of 136, 956, 114Calculator?

Out the numbers 136, 956, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.