GCD of 752, 684, 45, 139 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 752, 684, 45, 139 i.e. 1 largest integer that divides all the numbers equally.

GCD of 752, 684, 45, 139 is 1

GCD(752, 684, 45, 139) = 1

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

GCD of

GCD of numbers 752, 684, 45, 139 is 1

GCD(752, 684, 45, 139) = 1

GCD of 752,684,45,139 Calculator

GCDof 752,684,45,139 is 1

Given Input numbers are 752, 684, 45, 139

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 752, 684, 45, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 684, 45, 139 is 1.

Therefore, GCD of numbers 752, 684, 45, 139 is 1

Finding GCD of 752, 684, 45, 139 using Prime Factorization

Given Input Data is 752, 684, 45, 139

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 139 is 139

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

Finding GCD of 752, 684, 45, 139 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(752, 684) = 128592

GCD(752, 684) = ( 752 x 684 ) / 128592

GCD(752, 684) = 514368 / 128592

GCD(752, 684) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 45

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

LCM(4, 45) = 180

GCD(4, 45) = ( 4 x 45 ) / 180

GCD(4, 45) = 180 / 180

GCD(4, 45) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

GCD of 752, 684, 45, 139 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 752, 684, 45, 139

1. What is the GCD of 752, 684, 45, 139?

GCD of 752, 684, 45, 139 is 1


2. Where do I get the detailed procedure to find GCD of 752, 684, 45, 139?

You can find a detailed procedure to find GCD of 752, 684, 45, 139 on our page.


3. How to find GCD of 752, 684, 45, 139 on a calculator?

You can find the GCD of 752, 684, 45, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.