GCD of 682, 491, 949 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 682, 491, 949 i.e. 1 largest integer that divides all the numbers equally.

GCD of 682, 491, 949 is 1

GCD(682, 491, 949) = 1

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

GCD of

GCD of numbers 682, 491, 949 is 1

GCD(682, 491, 949) = 1

GCD of 682,491,949 Calculator

GCDof 682,491,949 is 1

Given Input numbers are 682, 491, 949

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 949

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

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 682, 491, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 491, 949 is 1.

Therefore, GCD of numbers 682, 491, 949 is 1

Finding GCD of 682, 491, 949 using Prime Factorization

Given Input Data is 682, 491, 949

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 491 is 491

Prime Factorization of 949 is 13 x 73

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

Finding GCD of 682, 491, 949 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(682, 491) = 334862

GCD(682, 491) = ( 682 x 491 ) / 334862

GCD(682, 491) = 334862 / 334862

GCD(682, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 682, 491, 949 is 1

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FAQs on GCD of numbers 682, 491, 949

1. What is the GCD of 682, 491, 949?

GCD of 682, 491, 949 is 1

2. Where do I get the detailed procedure to find GCD of 682, 491, 949?

You can find a detailed procedure to find GCD of 682, 491, 949 on our page.

3. How to find GCD of 682, 491, 949 on a calculator?

You can find the GCD of 682, 491, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.