GCD of 52, 392, 735, 532 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 52, 392, 735, 532 i.e. 1 largest integer that divides all the numbers equally.

GCD of 52, 392, 735, 532 is 1

GCD(52, 392, 735, 532) = 1

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

GCD of

GCD of numbers 52, 392, 735, 532 is 1

GCD(52, 392, 735, 532) = 1

GCD of 52,392,735,532 Calculator

GCDof 52,392,735,532 is 1

Given Input numbers are 52, 392, 735, 532

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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

Greatest Common Divisior

We found the divisors of 52, 392, 735, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 392, 735, 532 is 1.

Therefore, GCD of numbers 52, 392, 735, 532 is 1

Finding GCD of 52, 392, 735, 532 using Prime Factorization

Given Input Data is 52, 392, 735, 532

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 735 is 3 x 5 x 7 x 7

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

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

Finding GCD of 52, 392, 735, 532 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(52, 392) = 5096

GCD(52, 392) = ( 52 x 392 ) / 5096

GCD(52, 392) = 20384 / 5096

GCD(52, 392) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 735

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

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

GCD(4, 735) = 2940 / 2940

GCD(4, 735) = 1


Step3:

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

GCD of 52, 392, 735, 532 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 52, 392, 735, 532

1. What is the GCD of 52, 392, 735, 532?

GCD of 52, 392, 735, 532 is 1


2. Where do I get the detailed procedure to find GCD of 52, 392, 735, 532?

You can find a detailed procedure to find GCD of 52, 392, 735, 532 on our page.


3. How to find GCD of 52, 392, 735, 532 on a calculator?

You can find the GCD of 52, 392, 735, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.