GCD of 334, 735, 558, 679 Calculator

Given Input numbers are 334, 735, 558, 679

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 334, 735, 558, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 735, 558, 679 is 1.

Therefore, GCD of numbers 334, 735, 558, 679 is 1

Given Input Data is 334, 735, 558, 679

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 679 is 7 x 97

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, 735) = 245490

GCD(334, 735) = ( 334 x 735 ) / 245490

GCD(334, 735) = 245490 / 245490

GCD(334, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 334, 735, 558, 679 is 1

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1. What is the GCD of 334, 735, 558, 679?

GCD of 334, 735, 558, 679 is 1

2. Where do I get the detailed procedure to find GCD of 334, 735, 558, 679?

You can find a detailed procedure to find GCD of 334, 735, 558, 679 on our page.

3. How to find GCD of 334, 735, 558, 679 on a calculator?

You can find the GCD of 334, 735, 558, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.