GCD of 429, 634, 213, 827 Calculator

Given Input numbers are 429, 634, 213, 827

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 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 429, 634, 213, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 634, 213, 827 is 1.

Therefore, GCD of numbers 429, 634, 213, 827 is 1

Given Input Data is 429, 634, 213, 827

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 634 is 2 x 317

Prime Factorization of 213 is 3 x 71

Prime Factorization of 827 is 827

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, 634) = 271986

GCD(429, 634) = ( 429 x 634 ) / 271986

GCD(429, 634) = 271986 / 271986

GCD(429, 634) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 429, 634, 213, 827 is 1

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1. What is the GCD of 429, 634, 213, 827?

GCD of 429, 634, 213, 827 is 1

2. Where do I get the detailed procedure to find GCD of 429, 634, 213, 827?

You can find a detailed procedure to find GCD of 429, 634, 213, 827 on our page.

3. How to find GCD of 429, 634, 213, 827 on a calculator?

You can find the GCD of 429, 634, 213, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.