GCD of 274, 368, 399, 985 Calculator

Given Input numbers are 274, 368, 399, 985

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

Divisors of 274

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

1, 2, 137, 274

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 274, 368, 399, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 368, 399, 985 is 1.

Therefore, GCD of numbers 274, 368, 399, 985 is 1

Given Input Data is 274, 368, 399, 985

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 985 is 5 x 197

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(274, 368) = 50416

GCD(274, 368) = ( 274 x 368 ) / 50416

GCD(274, 368) = 100832 / 50416

GCD(274, 368) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 399

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

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

GCD(2, 399) = 798 / 798

GCD(2, 399) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 274, 368, 399, 985 is 1

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1. What is the GCD of 274, 368, 399, 985?

GCD of 274, 368, 399, 985 is 1

2. Where do I get the detailed procedure to find GCD of 274, 368, 399, 985?

You can find a detailed procedure to find GCD of 274, 368, 399, 985 on our page.

3. How to find GCD of 274, 368, 399, 985 on a calculator?

You can find the GCD of 274, 368, 399, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.