GCD of 735, 135, 650, 652 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 735, 135, 650, 652 i.e. 1 largest integer that divides all the numbers equally.

GCD of 735, 135, 650, 652 is 1

GCD(735, 135, 650, 652) = 1

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

GCD of

GCD of numbers 735, 135, 650, 652 is 1

GCD(735, 135, 650, 652) = 1

GCD of 735,135,650,652 Calculator

GCDof 735,135,650,652 is 1

Given Input numbers are 735, 135, 650, 652

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

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 735, 135, 650, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 135, 650, 652 is 1.

Therefore, GCD of numbers 735, 135, 650, 652 is 1

Finding GCD of 735, 135, 650, 652 using Prime Factorization

Given Input Data is 735, 135, 650, 652

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

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 652 is 2 x 2 x 163

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

Finding GCD of 735, 135, 650, 652 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(735, 135) = 6615

GCD(735, 135) = ( 735 x 135 ) / 6615

GCD(735, 135) = 99225 / 6615

GCD(735, 135) = 15


Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 650

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

LCM(15, 650) = 1950

GCD(15, 650) = ( 15 x 650 ) / 1950

GCD(15, 650) = 9750 / 1950

GCD(15, 650) = 5


Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 652

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

LCM(5, 652) = 3260

GCD(5, 652) = ( 5 x 652 ) / 3260

GCD(5, 652) = 3260 / 3260

GCD(5, 652) = 1

GCD of 735, 135, 650, 652 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 735, 135, 650, 652

1. What is the GCD of 735, 135, 650, 652?

GCD of 735, 135, 650, 652 is 1


2. Where do I get the detailed procedure to find GCD of 735, 135, 650, 652?

You can find a detailed procedure to find GCD of 735, 135, 650, 652 on our page.


3. How to find GCD of 735, 135, 650, 652 on a calculator?

You can find the GCD of 735, 135, 650, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.