GCD of 940, 102, 429 Calculator

Given Input numbers are 940, 102, 429

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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

Greatest Common Divisior

We found the divisors of 940, 102, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 102, 429 is 1.

Therefore, GCD of numbers 940, 102, 429 is 1

Given Input Data is 940, 102, 429

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 429 is 3 x 11 x 13

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(940, 102) = 47940

GCD(940, 102) = ( 940 x 102 ) / 47940

GCD(940, 102) = 95880 / 47940

GCD(940, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 429

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

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

GCD(2, 429) = 858 / 858

GCD(2, 429) = 1

GCD of 940, 102, 429 is 1

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1. What is the GCD of 940, 102, 429?

GCD of 940, 102, 429 is 1

2. Where do I get the detailed procedure to find GCD of 940, 102, 429?

You can find a detailed procedure to find GCD of 940, 102, 429 on our page.

3. How to find GCD of 940, 102, 429 on a calculator?

You can find the GCD of 940, 102, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.