GCD of 735, 141, 44, 322 Calculator

Given Input numbers are 735, 141, 44, 322

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 735, 141, 44, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 141, 44, 322 is 1.

Therefore, GCD of numbers 735, 141, 44, 322 is 1

Given Input Data is 735, 141, 44, 322

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 141 is 3 x 47

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 322 is 2 x 7 x 23

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, 141) = 34545

GCD(735, 141) = ( 735 x 141 ) / 34545

GCD(735, 141) = 103635 / 34545

GCD(735, 141) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 44

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

LCM(3, 44) = 132

GCD(3, 44) = ( 3 x 44 ) / 132

GCD(3, 44) = 132 / 132

GCD(3, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 735, 141, 44, 322 is 1

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1. What is the GCD of 735, 141, 44, 322?

GCD of 735, 141, 44, 322 is 1

2. Where do I get the detailed procedure to find GCD of 735, 141, 44, 322?

You can find a detailed procedure to find GCD of 735, 141, 44, 322 on our page.

3. How to find GCD of 735, 141, 44, 322 on a calculator?

You can find the GCD of 735, 141, 44, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.