GCD of 274, 268, 853, 717 Calculator

Given Input numbers are 274, 268, 853, 717

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

Divisors of 274

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

1, 2, 137, 274

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 274, 268, 853, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 268, 853, 717 is 1.

Therefore, GCD of numbers 274, 268, 853, 717 is 1

Given Input Data is 274, 268, 853, 717

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 853 is 853

Prime Factorization of 717 is 3 x 239

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(274, 268) = 36716

GCD(274, 268) = ( 274 x 268 ) / 36716

GCD(274, 268) = 73432 / 36716

GCD(274, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 853

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

LCM(2, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

GCD(2, 853) = 1706 / 1706

GCD(2, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 274, 268, 853, 717 is 1

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1. What is the GCD of 274, 268, 853, 717?

GCD of 274, 268, 853, 717 is 1

2. Where do I get the detailed procedure to find GCD of 274, 268, 853, 717?

You can find a detailed procedure to find GCD of 274, 268, 853, 717 on our page.

3. How to find GCD of 274, 268, 853, 717 on a calculator?

You can find the GCD of 274, 268, 853, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.