GCD of 904, 710, 100, 357 Calculator

Given Input numbers are 904, 710, 100, 357

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 904, 710, 100, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 710, 100, 357 is 1.

Therefore, GCD of numbers 904, 710, 100, 357 is 1

Given Input Data is 904, 710, 100, 357

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 357 is 3 x 7 x 17

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(904, 710) = 320920

GCD(904, 710) = ( 904 x 710 ) / 320920

GCD(904, 710) = 641840 / 320920

GCD(904, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 357

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

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

GCD(2, 357) = 714 / 714

GCD(2, 357) = 1

GCD of 904, 710, 100, 357 is 1

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1. What is the GCD of 904, 710, 100, 357?

GCD of 904, 710, 100, 357 is 1

2. Where do I get the detailed procedure to find GCD of 904, 710, 100, 357?

You can find a detailed procedure to find GCD of 904, 710, 100, 357 on our page.

3. How to find GCD of 904, 710, 100, 357 on a calculator?

You can find the GCD of 904, 710, 100, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.