GCD of 917, 313, 991, 274 Calculator

Given Input numbers are 917, 313, 991, 274

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

Divisors of 917

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

1, 7, 131, 917

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 917, 313, 991, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 313, 991, 274 is 1.

Therefore, GCD of numbers 917, 313, 991, 274 is 1

Given Input Data is 917, 313, 991, 274

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 313 is 313

Prime Factorization of 991 is 991

Prime Factorization of 274 is 2 x 137

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(917, 313) = 287021

GCD(917, 313) = ( 917 x 313 ) / 287021

GCD(917, 313) = 287021 / 287021

GCD(917, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 917, 313, 991, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 562, 695, 982
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• GCD of 277, 794, 342, 435
• GCD of 436, 869, 190, 828
• GCD of 192, 168, 268, 991

1. What is the GCD of 917, 313, 991, 274?

GCD of 917, 313, 991, 274 is 1

2. Where do I get the detailed procedure to find GCD of 917, 313, 991, 274?

You can find a detailed procedure to find GCD of 917, 313, 991, 274 on our page.

3. How to find GCD of 917, 313, 991, 274 on a calculator?

You can find the GCD of 917, 313, 991, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.