GCD of 391, 102, 718, 953 Calculator

Given Input numbers are 391, 102, 718, 953

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

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 391, 102, 718, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 102, 718, 953 is 1.

Therefore, GCD of numbers 391, 102, 718, 953 is 1

Given Input Data is 391, 102, 718, 953

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 718 is 2 x 359

Prime Factorization of 953 is 953

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(391, 102) = 2346

GCD(391, 102) = ( 391 x 102 ) / 2346

GCD(391, 102) = 39882 / 2346

GCD(391, 102) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 718

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

LCM(17, 718) = 12206

GCD(17, 718) = ( 17 x 718 ) / 12206

GCD(17, 718) = 12206 / 12206

GCD(17, 718) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 391, 102, 718, 953 is 1

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1. What is the GCD of 391, 102, 718, 953?

GCD of 391, 102, 718, 953 is 1

2. Where do I get the detailed procedure to find GCD of 391, 102, 718, 953?

You can find a detailed procedure to find GCD of 391, 102, 718, 953 on our page.

3. How to find GCD of 391, 102, 718, 953 on a calculator?

You can find the GCD of 391, 102, 718, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.