GCD of 317, 400, 681, 429 Calculator

Given Input numbers are 317, 400, 681, 429

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

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

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 317, 400, 681, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 400, 681, 429 is 1.

Therefore, GCD of numbers 317, 400, 681, 429 is 1

Given Input Data is 317, 400, 681, 429

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

Prime Factorization of 317 is 317

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

Prime Factorization of 681 is 3 x 227

Prime Factorization of 429 is 3 x 11 x 13

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(317, 400) = 126800

GCD(317, 400) = ( 317 x 400 ) / 126800

GCD(317, 400) = 126800 / 126800

GCD(317, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 317, 400, 681, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 886, 208, 736
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• GCD of 224, 331, 165, 998
• GCD of 385, 266, 898, 309
• GCD of 302, 784, 889, 714

1. What is the GCD of 317, 400, 681, 429?

GCD of 317, 400, 681, 429 is 1

2. Where do I get the detailed procedure to find GCD of 317, 400, 681, 429?

You can find a detailed procedure to find GCD of 317, 400, 681, 429 on our page.

3. How to find GCD of 317, 400, 681, 429 on a calculator?

You can find the GCD of 317, 400, 681, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.