GCD of 342, 274, 837, 920 Calculator

Given Input numbers are 342, 274, 837, 920

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 274

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

1, 2, 137, 274

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 342, 274, 837, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 274, 837, 920 is 1.

Therefore, GCD of numbers 342, 274, 837, 920 is 1

Given Input Data is 342, 274, 837, 920

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 274 is 2 x 137

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(342, 274) = 46854

GCD(342, 274) = ( 342 x 274 ) / 46854

GCD(342, 274) = 93708 / 46854

GCD(342, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 837

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

LCM(2, 837) = 1674

GCD(2, 837) = ( 2 x 837 ) / 1674

GCD(2, 837) = 1674 / 1674

GCD(2, 837) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 342, 274, 837, 920 is 1

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1. What is the GCD of 342, 274, 837, 920?

GCD of 342, 274, 837, 920 is 1

2. Where do I get the detailed procedure to find GCD of 342, 274, 837, 920?

You can find a detailed procedure to find GCD of 342, 274, 837, 920 on our page.

3. How to find GCD of 342, 274, 837, 920 on a calculator?

You can find the GCD of 342, 274, 837, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.