GCD of 274, 994, 65, 671 Calculator

Given Input numbers are 274, 994, 65, 671

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 671

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

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 274, 994, 65, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 994, 65, 671 is 1.

Therefore, GCD of numbers 274, 994, 65, 671 is 1

Given Input Data is 274, 994, 65, 671

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 65 is 5 x 13

Prime Factorization of 671 is 11 x 61

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, 994) = 136178

GCD(274, 994) = ( 274 x 994 ) / 136178

GCD(274, 994) = 272356 / 136178

GCD(274, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 671

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

LCM(1, 671) = 671

GCD(1, 671) = ( 1 x 671 ) / 671

GCD(1, 671) = 671 / 671

GCD(1, 671) = 1

GCD of 274, 994, 65, 671 is 1

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1. What is the GCD of 274, 994, 65, 671?

GCD of 274, 994, 65, 671 is 1

2. Where do I get the detailed procedure to find GCD of 274, 994, 65, 671?

You can find a detailed procedure to find GCD of 274, 994, 65, 671 on our page.

3. How to find GCD of 274, 994, 65, 671 on a calculator?

You can find the GCD of 274, 994, 65, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.