GCD of 137, 674, 317, 400 Calculator

Given Input numbers are 137, 674, 317, 400

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 137, 674, 317, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 674, 317, 400 is 1.

Therefore, GCD of numbers 137, 674, 317, 400 is 1

Given Input Data is 137, 674, 317, 400

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

Prime Factorization of 137 is 137

Prime Factorization of 674 is 2 x 337

Prime Factorization of 317 is 317

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(137, 674) = 92338

GCD(137, 674) = ( 137 x 674 ) / 92338

GCD(137, 674) = 92338 / 92338

GCD(137, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 137, 674, 317, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 406, 564, 765
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• GCD of 804, 356, 857, 163

1. What is the GCD of 137, 674, 317, 400?

GCD of 137, 674, 317, 400 is 1

2. Where do I get the detailed procedure to find GCD of 137, 674, 317, 400?

You can find a detailed procedure to find GCD of 137, 674, 317, 400 on our page.

3. How to find GCD of 137, 674, 317, 400 on a calculator?

You can find the GCD of 137, 674, 317, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.