GCD of 378, 938, 96, 557 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 378, 938, 96, 557 i.e. 1 largest integer that divides all the numbers equally.

GCD of 378, 938, 96, 557 is 1

GCD(378, 938, 96, 557) = 1

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

GCD of

GCD of numbers 378, 938, 96, 557 is 1

GCD(378, 938, 96, 557) = 1

GCD of 378,938,96,557 Calculator

GCDof 378,938,96,557 is 1

Given Input numbers are 378, 938, 96, 557

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 378, 938, 96, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 938, 96, 557 is 1.

Therefore, GCD of numbers 378, 938, 96, 557 is 1

Finding GCD of 378, 938, 96, 557 using Prime Factorization

Given Input Data is 378, 938, 96, 557

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 557 is 557

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

Finding GCD of 378, 938, 96, 557 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(378, 938) = 25326

GCD(378, 938) = ( 378 x 938 ) / 25326

GCD(378, 938) = 354564 / 25326

GCD(378, 938) = 14


Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 96

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

LCM(14, 96) = 672

GCD(14, 96) = ( 14 x 96 ) / 672

GCD(14, 96) = 1344 / 672

GCD(14, 96) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 557

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

LCM(2, 557) = 1114

GCD(2, 557) = ( 2 x 557 ) / 1114

GCD(2, 557) = 1114 / 1114

GCD(2, 557) = 1

GCD of 378, 938, 96, 557 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 378, 938, 96, 557

1. What is the GCD of 378, 938, 96, 557?

GCD of 378, 938, 96, 557 is 1


2. Where do I get the detailed procedure to find GCD of 378, 938, 96, 557?

You can find a detailed procedure to find GCD of 378, 938, 96, 557 on our page.


3. How to find GCD of 378, 938, 96, 557 on a calculator?

You can find the GCD of 378, 938, 96, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.