GCD of 462, 949, 980 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 462, 949, 980 i.e. 1 largest integer that divides all the numbers equally.

GCD of 462, 949, 980 is 1

GCD(462, 949, 980) = 1

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

GCD of

GCD of numbers 462, 949, 980 is 1

GCD(462, 949, 980) = 1

GCD of 462,949,980 Calculator

GCDof 462,949,980 is 1

Given Input numbers are 462, 949, 980

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 462, 949, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 949, 980 is 1.

Therefore, GCD of numbers 462, 949, 980 is 1

Finding GCD of 462, 949, 980 using Prime Factorization

Given Input Data is 462, 949, 980

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 949 is 13 x 73

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

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

Finding GCD of 462, 949, 980 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(462, 949) = 438438

GCD(462, 949) = ( 462 x 949 ) / 438438

GCD(462, 949) = 438438 / 438438

GCD(462, 949) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 462, 949, 980 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 462, 949, 980

1. What is the GCD of 462, 949, 980?

GCD of 462, 949, 980 is 1


2. Where do I get the detailed procedure to find GCD of 462, 949, 980?

You can find a detailed procedure to find GCD of 462, 949, 980 on our page.


3. How to find GCD of 462, 949, 980 on a calculator?

You can find the GCD of 462, 949, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.