GCD of 671, 756, 49, 654 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 671, 756, 49, 654 i.e. 1 largest integer that divides all the numbers equally.

GCD of 671, 756, 49, 654 is 1

GCD(671, 756, 49, 654) = 1

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

GCD of

GCD of numbers 671, 756, 49, 654 is 1

GCD(671, 756, 49, 654) = 1

GCD of 671,756,49,654 Calculator

GCDof 671,756,49,654 is 1

Given Input numbers are 671, 756, 49, 654

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

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 671, 756, 49, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 671, 756, 49, 654 is 1.

Therefore, GCD of numbers 671, 756, 49, 654 is 1

Finding GCD of 671, 756, 49, 654 using Prime Factorization

Given Input Data is 671, 756, 49, 654

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

Prime Factorization of 671 is 11 x 61

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 49 is 7 x 7

Prime Factorization of 654 is 2 x 3 x 109

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

Finding GCD of 671, 756, 49, 654 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(671, 756) = 507276

GCD(671, 756) = ( 671 x 756 ) / 507276

GCD(671, 756) = 507276 / 507276

GCD(671, 756) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 671, 756, 49, 654 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 671, 756, 49, 654

1. What is the GCD of 671, 756, 49, 654?

GCD of 671, 756, 49, 654 is 1


2. Where do I get the detailed procedure to find GCD of 671, 756, 49, 654?

You can find a detailed procedure to find GCD of 671, 756, 49, 654 on our page.


3. How to find GCD of 671, 756, 49, 654 on a calculator?

You can find the GCD of 671, 756, 49, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.