GCD of 61, 126, 532, 648 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 61, 126, 532, 648 i.e. 1 largest integer that divides all the numbers equally.

GCD of 61, 126, 532, 648 is 1

GCD(61, 126, 532, 648) = 1

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

GCD of

GCD of numbers 61, 126, 532, 648 is 1

GCD(61, 126, 532, 648) = 1

GCD of 61,126,532,648 Calculator

GCDof 61,126,532,648 is 1

Given Input numbers are 61, 126, 532, 648

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 61, 126, 532, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 126, 532, 648 is 1.

Therefore, GCD of numbers 61, 126, 532, 648 is 1

Finding GCD of 61, 126, 532, 648 using Prime Factorization

Given Input Data is 61, 126, 532, 648

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

Prime Factorization of 61 is 61

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Finding GCD of 61, 126, 532, 648 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(61, 126) = 7686

GCD(61, 126) = ( 61 x 126 ) / 7686

GCD(61, 126) = 7686 / 7686

GCD(61, 126) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 61, 126, 532, 648 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 61, 126, 532, 648

1. What is the GCD of 61, 126, 532, 648?

GCD of 61, 126, 532, 648 is 1


2. Where do I get the detailed procedure to find GCD of 61, 126, 532, 648?

You can find a detailed procedure to find GCD of 61, 126, 532, 648 on our page.


3. How to find GCD of 61, 126, 532, 648 on a calculator?

You can find the GCD of 61, 126, 532, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.