GCD of 212, 938, 431 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 212, 938, 431 i.e. 1 largest integer that divides all the numbers equally.

GCD of 212, 938, 431 is 1

GCD(212, 938, 431) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 212, 938, 431 is 1

GCD(212, 938, 431) = 1

GCD of 212,938,431 Calculator

GCDof 212,938,431 is 1

Given Input numbers are 212, 938, 431

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 212, 938, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 938, 431 is 1.

Therefore, GCD of numbers 212, 938, 431 is 1

Finding GCD of 212, 938, 431 using Prime Factorization

Given Input Data is 212, 938, 431

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 431 is 431

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 212, 938, 431 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(212, 938) = 99428

GCD(212, 938) = ( 212 x 938 ) / 99428

GCD(212, 938) = 198856 / 99428

GCD(212, 938) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 431

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

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

GCD(2, 431) = 862 / 862

GCD(2, 431) = 1

GCD of 212, 938, 431 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 212, 938, 431

1. What is the GCD of 212, 938, 431?

GCD of 212, 938, 431 is 1


2. Where do I get the detailed procedure to find GCD of 212, 938, 431?

You can find a detailed procedure to find GCD of 212, 938, 431 on our page.


3. How to find GCD of 212, 938, 431 on a calculator?

You can find the GCD of 212, 938, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.