GCD of 343, 931, 75, 605 Calculator

Given Input numbers are 343, 931, 75, 605

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 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 343, 931, 75, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 931, 75, 605 is 1.

Therefore, GCD of numbers 343, 931, 75, 605 is 1

Given Input Data is 343, 931, 75, 605

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 931 is 7 x 7 x 19

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 605 is 5 x 11 x 11

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, 931) = 6517

GCD(343, 931) = ( 343 x 931 ) / 6517

GCD(343, 931) = 319333 / 6517

GCD(343, 931) = 49

Step2:

Here we consider the GCD from the above i.e. 49 as first number and the next as 75

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

LCM(49, 75) = 3675

GCD(49, 75) = ( 49 x 75 ) / 3675

GCD(49, 75) = 3675 / 3675

GCD(49, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

GCD of 343, 931, 75, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 865, 52, 138
• GCD of 553, 824, 57, 187
• GCD of 730, 162, 97, 695
• GCD of 282, 821, 86, 436
• GCD of 743, 243, 28, 941

1. What is the GCD of 343, 931, 75, 605?

GCD of 343, 931, 75, 605 is 1

2. Where do I get the detailed procedure to find GCD of 343, 931, 75, 605?

You can find a detailed procedure to find GCD of 343, 931, 75, 605 on our page.

3. How to find GCD of 343, 931, 75, 605 on a calculator?

You can find the GCD of 343, 931, 75, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.