GCD of 735, 836, 84, 717 Calculator

Given Input numbers are 735, 836, 84, 717

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 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 735, 836, 84, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 836, 84, 717 is 1.

Therefore, GCD of numbers 735, 836, 84, 717 is 1

Given Input Data is 735, 836, 84, 717

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 836 is 2 x 2 x 11 x 19

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 717 is 3 x 239

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, 836) = 614460

GCD(735, 836) = ( 735 x 836 ) / 614460

GCD(735, 836) = 614460 / 614460

GCD(735, 836) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 735, 836, 84, 717 is 1

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1. What is the GCD of 735, 836, 84, 717?

GCD of 735, 836, 84, 717 is 1

2. Where do I get the detailed procedure to find GCD of 735, 836, 84, 717?

You can find a detailed procedure to find GCD of 735, 836, 84, 717 on our page.

3. How to find GCD of 735, 836, 84, 717 on a calculator?

You can find the GCD of 735, 836, 84, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.