GCD of 343, 400, 28, 917 Calculator

Given Input numbers are 343, 400, 28, 917

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 343, 400, 28, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 400, 28, 917 is 1.

Therefore, GCD of numbers 343, 400, 28, 917 is 1

Given Input Data is 343, 400, 28, 917

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

Prime Factorization of 343 is 7 x 7 x 7

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

Prime Factorization of 28 is 2 x 2 x 7

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(343, 400) = 137200

GCD(343, 400) = ( 343 x 400 ) / 137200

GCD(343, 400) = 137200 / 137200

GCD(343, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 343, 400, 28, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 590, 62, 641
• GCD of 718, 662, 87, 964
• GCD of 622, 646, 78, 938
• GCD of 178, 877, 11, 833
• GCD of 965, 281, 94, 110

1. What is the GCD of 343, 400, 28, 917?

GCD of 343, 400, 28, 917 is 1

2. Where do I get the detailed procedure to find GCD of 343, 400, 28, 917?

You can find a detailed procedure to find GCD of 343, 400, 28, 917 on our page.

3. How to find GCD of 343, 400, 28, 917 on a calculator?

You can find the GCD of 343, 400, 28, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.