GCD of 48, 975, 934, 380 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 48, 975, 934, 380 i.e. 1 largest integer that divides all the numbers equally.

GCD of 48, 975, 934, 380 is 1

GCD(48, 975, 934, 380) = 1

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

GCD of

GCD of numbers 48, 975, 934, 380 is 1

GCD(48, 975, 934, 380) = 1

GCD of 48,975,934,380 Calculator

GCDof 48,975,934,380 is 1

Given Input numbers are 48, 975, 934, 380

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 48, 975, 934, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 975, 934, 380 is 1.

Therefore, GCD of numbers 48, 975, 934, 380 is 1

Finding GCD of 48, 975, 934, 380 using Prime Factorization

Given Input Data is 48, 975, 934, 380

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 934 is 2 x 467

Prime Factorization of 380 is 2 x 2 x 5 x 19

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

Finding GCD of 48, 975, 934, 380 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(48, 975) = 15600

GCD(48, 975) = ( 48 x 975 ) / 15600

GCD(48, 975) = 46800 / 15600

GCD(48, 975) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 934

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

LCM(3, 934) = 2802

GCD(3, 934) = ( 3 x 934 ) / 2802

GCD(3, 934) = 2802 / 2802

GCD(3, 934) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 48, 975, 934, 380 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 48, 975, 934, 380

1. What is the GCD of 48, 975, 934, 380?

GCD of 48, 975, 934, 380 is 1


2. Where do I get the detailed procedure to find GCD of 48, 975, 934, 380?

You can find a detailed procedure to find GCD of 48, 975, 934, 380 on our page.


3. How to find GCD of 48, 975, 934, 380 on a calculator?

You can find the GCD of 48, 975, 934, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.