GCD of 874, 302, 386, 917 Calculator

Given Input numbers are 874, 302, 386, 917

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 874, 302, 386, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 302, 386, 917 is 1.

Therefore, GCD of numbers 874, 302, 386, 917 is 1

Given Input Data is 874, 302, 386, 917

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 302 is 2 x 151

Prime Factorization of 386 is 2 x 193

Prime Factorization of 917 is 7 x 131

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(874, 302) = 131974

GCD(874, 302) = ( 874 x 302 ) / 131974

GCD(874, 302) = 263948 / 131974

GCD(874, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 386

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

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

GCD(2, 386) = 772 / 386

GCD(2, 386) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

GCD of 874, 302, 386, 917 is 1

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1. What is the GCD of 874, 302, 386, 917?

GCD of 874, 302, 386, 917 is 1

2. Where do I get the detailed procedure to find GCD of 874, 302, 386, 917?

You can find a detailed procedure to find GCD of 874, 302, 386, 917 on our page.

3. How to find GCD of 874, 302, 386, 917 on a calculator?

You can find the GCD of 874, 302, 386, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.