GCD of 102, 429, 13, 958 Calculator

Given Input numbers are 102, 429, 13, 958

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

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 102, 429, 13, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 429, 13, 958 is 1.

Therefore, GCD of numbers 102, 429, 13, 958 is 1

Given Input Data is 102, 429, 13, 958

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 13 is 13

Prime Factorization of 958 is 2 x 479

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(102, 429) = 14586

GCD(102, 429) = ( 102 x 429 ) / 14586

GCD(102, 429) = 43758 / 14586

GCD(102, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 102, 429, 13, 958 is 1

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• GCD of 307, 343, 34, 617
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• GCD of 525, 192, 55, 940

1. What is the GCD of 102, 429, 13, 958?

GCD of 102, 429, 13, 958 is 1

2. Where do I get the detailed procedure to find GCD of 102, 429, 13, 958?

You can find a detailed procedure to find GCD of 102, 429, 13, 958 on our page.

3. How to find GCD of 102, 429, 13, 958 on a calculator?

You can find the GCD of 102, 429, 13, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.