GCD of 334, 842, 579, 657 Calculator

Given Input numbers are 334, 842, 579, 657

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 334, 842, 579, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 842, 579, 657 is 1.

Therefore, GCD of numbers 334, 842, 579, 657 is 1

Given Input Data is 334, 842, 579, 657

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 842 is 2 x 421

Prime Factorization of 579 is 3 x 193

Prime Factorization of 657 is 3 x 3 x 73

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(334, 842) = 140614

GCD(334, 842) = ( 334 x 842 ) / 140614

GCD(334, 842) = 281228 / 140614

GCD(334, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 579

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

LCM(2, 579) = 1158

GCD(2, 579) = ( 2 x 579 ) / 1158

GCD(2, 579) = 1158 / 1158

GCD(2, 579) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 334, 842, 579, 657 is 1

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1. What is the GCD of 334, 842, 579, 657?

GCD of 334, 842, 579, 657 is 1

2. Where do I get the detailed procedure to find GCD of 334, 842, 579, 657?

You can find a detailed procedure to find GCD of 334, 842, 579, 657 on our page.

3. How to find GCD of 334, 842, 579, 657 on a calculator?

You can find the GCD of 334, 842, 579, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.