GCD of 148, 580, 77, 381 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 148, 580, 77, 381 i.e. 1 largest integer that divides all the numbers equally.

GCD of 148, 580, 77, 381 is 1

GCD(148, 580, 77, 381) = 1

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

GCD of

GCD of numbers 148, 580, 77, 381 is 1

GCD(148, 580, 77, 381) = 1

GCD of 148,580,77,381 Calculator

GCDof 148,580,77,381 is 1

Given Input numbers are 148, 580, 77, 381

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 148, 580, 77, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 580, 77, 381 is 1.

Therefore, GCD of numbers 148, 580, 77, 381 is 1

Finding GCD of 148, 580, 77, 381 using Prime Factorization

Given Input Data is 148, 580, 77, 381

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 77 is 7 x 11

Prime Factorization of 381 is 3 x 127

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

Finding GCD of 148, 580, 77, 381 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(148, 580) = 21460

GCD(148, 580) = ( 148 x 580 ) / 21460

GCD(148, 580) = 85840 / 21460

GCD(148, 580) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 77

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

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

GCD(4, 77) = 308 / 308

GCD(4, 77) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 148, 580, 77, 381 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 148, 580, 77, 381

1. What is the GCD of 148, 580, 77, 381?

GCD of 148, 580, 77, 381 is 1


2. Where do I get the detailed procedure to find GCD of 148, 580, 77, 381?

You can find a detailed procedure to find GCD of 148, 580, 77, 381 on our page.


3. How to find GCD of 148, 580, 77, 381 on a calculator?

You can find the GCD of 148, 580, 77, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.