GCD of 735, 379, 21, 790 Calculator

Given Input numbers are 735, 379, 21, 790

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 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 735, 379, 21, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 379, 21, 790 is 1.

Therefore, GCD of numbers 735, 379, 21, 790 is 1

Given Input Data is 735, 379, 21, 790

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 379 is 379

Prime Factorization of 21 is 3 x 7

Prime Factorization of 790 is 2 x 5 x 79

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, 379) = 278565

GCD(735, 379) = ( 735 x 379 ) / 278565

GCD(735, 379) = 278565 / 278565

GCD(735, 379) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 735, 379, 21, 790 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 504, 22, 458
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• GCD of 215, 911, 21, 373

1. What is the GCD of 735, 379, 21, 790?

GCD of 735, 379, 21, 790 is 1

2. Where do I get the detailed procedure to find GCD of 735, 379, 21, 790?

You can find a detailed procedure to find GCD of 735, 379, 21, 790 on our page.

3. How to find GCD of 735, 379, 21, 790 on a calculator?

You can find the GCD of 735, 379, 21, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.