GCD of 125, 396, 49, 546 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 125, 396, 49, 546 i.e. 1 largest integer that divides all the numbers equally.

GCD of 125, 396, 49, 546 is 1

GCD(125, 396, 49, 546) = 1

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

GCD of

GCD of numbers 125, 396, 49, 546 is 1

GCD(125, 396, 49, 546) = 1

GCD of 125,396,49,546 Calculator

GCDof 125,396,49,546 is 1

Given Input numbers are 125, 396, 49, 546

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 49

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

1, 7, 49

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 125, 396, 49, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 396, 49, 546 is 1.

Therefore, GCD of numbers 125, 396, 49, 546 is 1

Finding GCD of 125, 396, 49, 546 using Prime Factorization

Given Input Data is 125, 396, 49, 546

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 546 is 2 x 3 x 7 x 13

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

Finding GCD of 125, 396, 49, 546 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(125, 396) = 49500

GCD(125, 396) = ( 125 x 396 ) / 49500

GCD(125, 396) = 49500 / 49500

GCD(125, 396) = 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 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 125, 396, 49, 546 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 125, 396, 49, 546

1. What is the GCD of 125, 396, 49, 546?

GCD of 125, 396, 49, 546 is 1


2. Where do I get the detailed procedure to find GCD of 125, 396, 49, 546?

You can find a detailed procedure to find GCD of 125, 396, 49, 546 on our page.


3. How to find GCD of 125, 396, 49, 546 on a calculator?

You can find the GCD of 125, 396, 49, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.