GCD of 274, 116, 574, 713 Calculator

Given Input numbers are 274, 116, 574, 713

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 274, 116, 574, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 116, 574, 713 is 1.

Therefore, GCD of numbers 274, 116, 574, 713 is 1

Given Input Data is 274, 116, 574, 713

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 713 is 23 x 31

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, 116) = 15892

GCD(274, 116) = ( 274 x 116 ) / 15892

GCD(274, 116) = 31784 / 15892

GCD(274, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 574

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

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

GCD(2, 574) = 1148 / 574

GCD(2, 574) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

GCD of 274, 116, 574, 713 is 1

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• GCD of 336, 680, 858, 236
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1. What is the GCD of 274, 116, 574, 713?

GCD of 274, 116, 574, 713 is 1

2. Where do I get the detailed procedure to find GCD of 274, 116, 574, 713?

You can find a detailed procedure to find GCD of 274, 116, 574, 713 on our page.

3. How to find GCD of 274, 116, 574, 713 on a calculator?

You can find the GCD of 274, 116, 574, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.