GCD of 334, 742, 539, 158 Calculator

Given Input numbers are 334, 742, 539, 158

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 334, 742, 539, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 742, 539, 158 is 1.

Therefore, GCD of numbers 334, 742, 539, 158 is 1

Given Input Data is 334, 742, 539, 158

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 158 is 2 x 79

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, 742) = 123914

GCD(334, 742) = ( 334 x 742 ) / 123914

GCD(334, 742) = 247828 / 123914

GCD(334, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 539

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

LCM(2, 539) = 1078

GCD(2, 539) = ( 2 x 539 ) / 1078

GCD(2, 539) = 1078 / 1078

GCD(2, 539) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 334, 742, 539, 158 is 1

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1. What is the GCD of 334, 742, 539, 158?

GCD of 334, 742, 539, 158 is 1

2. Where do I get the detailed procedure to find GCD of 334, 742, 539, 158?

You can find a detailed procedure to find GCD of 334, 742, 539, 158 on our page.

3. How to find GCD of 334, 742, 539, 158 on a calculator?

You can find the GCD of 334, 742, 539, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.