GCD of 429, 202, 21, 847 Calculator

Given Input numbers are 429, 202, 21, 847

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

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 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 429, 202, 21, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 202, 21, 847 is 1.

Therefore, GCD of numbers 429, 202, 21, 847 is 1

Given Input Data is 429, 202, 21, 847

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 202 is 2 x 101

Prime Factorization of 21 is 3 x 7

Prime Factorization of 847 is 7 x 11 x 11

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(429, 202) = 86658

GCD(429, 202) = ( 429 x 202 ) / 86658

GCD(429, 202) = 86658 / 86658

GCD(429, 202) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 847

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

LCM(1, 847) = 847

GCD(1, 847) = ( 1 x 847 ) / 847

GCD(1, 847) = 847 / 847

GCD(1, 847) = 1

GCD of 429, 202, 21, 847 is 1

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1. What is the GCD of 429, 202, 21, 847?

GCD of 429, 202, 21, 847 is 1

2. Where do I get the detailed procedure to find GCD of 429, 202, 21, 847?

You can find a detailed procedure to find GCD of 429, 202, 21, 847 on our page.

3. How to find GCD of 429, 202, 21, 847 on a calculator?

You can find the GCD of 429, 202, 21, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.