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GCD of 952, 294, 238 Calculator

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


Online GCD Calculator is useful to find the GCD of 952, 294, 238 quickly. Get the easiest ways to solve the greatest common divisor of 952, 294, 238 i.e 14 in different methods as follows.

GCD of

How to Find GCD of Numbers 952, 294, 238 with Factoring?

Given Input numbers are 952, 294, 238

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238


GCD of numbers is the greatest common divisor

So, the GCD (952, 294, 238) = 14.

Find GCD of 952, 294, 238 using Prime Factorization

Given numbers are 952, 294, 238

The list of prime factors of all numbers are

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 21 x 71

Therefore, GCD of 952, 294, 238 is 14.

Steps to Calculate GCD of 952, 294, 238 using LCM Formula

Given numbers are 952, 294, 238

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

Apply this formula for all numbers.

Step1:

LCM(952, 294) = 19992

GCD(952, 294) = ( 952 x 294 ) / 19992

= 952 / 294

= 952


Step2:

LCM(14, 238) = 238

GCD(14, 238) = ( 14 x 238 ) / 238

= 14 / 238

= 14


So, Greatest Common Divisor of 952, 294, 238 is 14

GCD of Numbers Calculation Examples

Greatest Common Divisor of 952, 294, 238

Given numbers are 952, 294, 238
The greatest common divisor of numbers 952, 294, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 294, 238 is 14.

FAQs on GCD of 952, 294, 238 Calculator

1. What is the GCD of 952, 294, 238?

GCD of given numbers 952, 294, 238 is 14


2. How to calculate the greatest common divisor of 952, 294, 238?

We can find the highest common divisor of 952, 294, 238 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 952, 294, 238 i.e 14.


3. How can I use the GCD of 952, 294, 238Calculator?

Out the numbers 952, 294, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.