GCD of 357, 702, 99, 916 Calculator

Given Input numbers are 357, 702, 99, 916

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

Divisors of 357

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

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 357, 702, 99, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 702, 99, 916 is 1.

Therefore, GCD of numbers 357, 702, 99, 916 is 1

Given Input Data is 357, 702, 99, 916

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 916 is 2 x 2 x 229

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(357, 702) = 83538

GCD(357, 702) = ( 357 x 702 ) / 83538

GCD(357, 702) = 250614 / 83538

GCD(357, 702) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 916

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

LCM(3, 916) = 2748

GCD(3, 916) = ( 3 x 916 ) / 2748

GCD(3, 916) = 2748 / 2748

GCD(3, 916) = 1

GCD of 357, 702, 99, 916 is 1

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1. What is the GCD of 357, 702, 99, 916?

GCD of 357, 702, 99, 916 is 1

2. Where do I get the detailed procedure to find GCD of 357, 702, 99, 916?

You can find a detailed procedure to find GCD of 357, 702, 99, 916 on our page.

3. How to find GCD of 357, 702, 99, 916 on a calculator?

You can find the GCD of 357, 702, 99, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.