GCD of 671, 917, 343, 675 Calculator

Given Input numbers are 671, 917, 343, 675

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

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 343

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

1, 7, 49, 343

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 671, 917, 343, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 671, 917, 343, 675 is 1.

Therefore, GCD of numbers 671, 917, 343, 675 is 1

Given Input Data is 671, 917, 343, 675

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

Prime Factorization of 671 is 11 x 61

Prime Factorization of 917 is 7 x 131

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 675 is 3 x 3 x 3 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(671, 917) = 615307

GCD(671, 917) = ( 671 x 917 ) / 615307

GCD(671, 917) = 615307 / 615307

GCD(671, 917) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 671, 917, 343, 675 is 1

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1. What is the GCD of 671, 917, 343, 675?

GCD of 671, 917, 343, 675 is 1

2. Where do I get the detailed procedure to find GCD of 671, 917, 343, 675?

You can find a detailed procedure to find GCD of 671, 917, 343, 675 on our page.

3. How to find GCD of 671, 917, 343, 675 on a calculator?

You can find the GCD of 671, 917, 343, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.