GCD of 334, 274, 779, 359 Calculator

Given Input numbers are 334, 274, 779, 359

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 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 334, 274, 779, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 274, 779, 359 is 1.

Therefore, GCD of numbers 334, 274, 779, 359 is 1

Given Input Data is 334, 274, 779, 359

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 274 is 2 x 137

Prime Factorization of 779 is 19 x 41

Prime Factorization of 359 is 359

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, 274) = 45758

GCD(334, 274) = ( 334 x 274 ) / 45758

GCD(334, 274) = 91516 / 45758

GCD(334, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 779

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

LCM(2, 779) = 1558

GCD(2, 779) = ( 2 x 779 ) / 1558

GCD(2, 779) = 1558 / 1558

GCD(2, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 334, 274, 779, 359 is 1

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1. What is the GCD of 334, 274, 779, 359?

GCD of 334, 274, 779, 359 is 1

2. Where do I get the detailed procedure to find GCD of 334, 274, 779, 359?

You can find a detailed procedure to find GCD of 334, 274, 779, 359 on our page.

3. How to find GCD of 334, 274, 779, 359 on a calculator?

You can find the GCD of 334, 274, 779, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.