GCD of 564, 429, 857, 835 Calculator

Given Input numbers are 564, 429, 857, 835

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 564, 429, 857, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 429, 857, 835 is 1.

Therefore, GCD of numbers 564, 429, 857, 835 is 1

Given Input Data is 564, 429, 857, 835

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 857 is 857

Prime Factorization of 835 is 5 x 167

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(564, 429) = 80652

GCD(564, 429) = ( 564 x 429 ) / 80652

GCD(564, 429) = 241956 / 80652

GCD(564, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 857

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

LCM(3, 857) = 2571

GCD(3, 857) = ( 3 x 857 ) / 2571

GCD(3, 857) = 2571 / 2571

GCD(3, 857) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 835

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

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

GCD(1, 835) = 835 / 835

GCD(1, 835) = 1

GCD of 564, 429, 857, 835 is 1

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1. What is the GCD of 564, 429, 857, 835?

GCD of 564, 429, 857, 835 is 1

2. Where do I get the detailed procedure to find GCD of 564, 429, 857, 835?

You can find a detailed procedure to find GCD of 564, 429, 857, 835 on our page.

3. How to find GCD of 564, 429, 857, 835 on a calculator?

You can find the GCD of 564, 429, 857, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.