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GCD of 203, 427, 938 Calculator

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


Online GCD Calculator is useful to find the GCD of 203, 427, 938 quickly. Get the easiest ways to solve the greatest common divisor of 203, 427, 938 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 203, 427, 938 with Factoring?

Given Input numbers are 203, 427, 938

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

Divisors of 203 :

The positive integer divisors of 203 that completely divides 203 are.

1, 7, 29, 203

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (203, 427, 938) = 7.

Find GCD of 203, 427, 938 using Prime Factorization

Given numbers are 203, 427, 938

The list of prime factors of all numbers are

Prime factors of 203 are 7 x 29

Prime factors of 427 are 7 x 61

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 71

Therefore, GCD of 203, 427, 938 is 7.

Steps to Calculate GCD of 203, 427, 938 using LCM Formula

Given numbers are 203, 427, 938

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

Apply this formula for all numbers.

Step1:

LCM(203, 427) = 12383

GCD(203, 427) = ( 203 x 427 ) / 12383

= 203 / 427

= 203


Step2:

LCM(7, 938) = 938

GCD(7, 938) = ( 7 x 938 ) / 938

= 7 / 938

= 7


So, Greatest Common Divisor of 203, 427, 938 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 203, 427, 938

Given numbers are 203, 427, 938
The greatest common divisor of numbers 203, 427, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 203, 427, 938 is 7.

FAQs on GCD of 203, 427, 938 Calculator

1. What is the GCD of 203, 427, 938?

GCD of given numbers 203, 427, 938 is 7


2. How to calculate the greatest common divisor of 203, 427, 938?

We can find the highest common divisor of 203, 427, 938 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 203, 427, 938 i.e 7.


3. How can I use the GCD of 203, 427, 938Calculator?

Out the numbers 203, 427, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.