GCD of 334, 373, 142, 344 Calculator

Given Input numbers are 334, 373, 142, 344

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 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 334, 373, 142, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 373, 142, 344 is 1.

Therefore, GCD of numbers 334, 373, 142, 344 is 1

Given Input Data is 334, 373, 142, 344

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 373 is 373

Prime Factorization of 142 is 2 x 71

Prime Factorization of 344 is 2 x 2 x 2 x 43

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, 373) = 124582

GCD(334, 373) = ( 334 x 373 ) / 124582

GCD(334, 373) = 124582 / 124582

GCD(334, 373) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 334, 373, 142, 344 is 1

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1. What is the GCD of 334, 373, 142, 344?

GCD of 334, 373, 142, 344 is 1

2. Where do I get the detailed procedure to find GCD of 334, 373, 142, 344?

You can find a detailed procedure to find GCD of 334, 373, 142, 344 on our page.

3. How to find GCD of 334, 373, 142, 344 on a calculator?

You can find the GCD of 334, 373, 142, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.