GCD of 735, 989, 323, 135 Calculator

Given Input numbers are 735, 989, 323, 135

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 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 135

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

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

Greatest Common Divisior

We found the divisors of 735, 989, 323, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 989, 323, 135 is 1.

Therefore, GCD of numbers 735, 989, 323, 135 is 1

Given Input Data is 735, 989, 323, 135

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 989 is 23 x 43

Prime Factorization of 323 is 17 x 19

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

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

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, 989) = 726915

GCD(735, 989) = ( 735 x 989 ) / 726915

GCD(735, 989) = 726915 / 726915

GCD(735, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 735, 989, 323, 135 is 1

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1. What is the GCD of 735, 989, 323, 135?

GCD of 735, 989, 323, 135 is 1

2. Where do I get the detailed procedure to find GCD of 735, 989, 323, 135?

You can find a detailed procedure to find GCD of 735, 989, 323, 135 on our page.

3. How to find GCD of 735, 989, 323, 135 on a calculator?

You can find the GCD of 735, 989, 323, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.