GCD of 713, 284, 880, 674 Calculator

Given Input numbers are 713, 284, 880, 674

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

Divisors of 713

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

1, 23, 31, 713

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 713, 284, 880, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 284, 880, 674 is 1.

Therefore, GCD of numbers 713, 284, 880, 674 is 1

Given Input Data is 713, 284, 880, 674

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 674 is 2 x 337

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(713, 284) = 202492

GCD(713, 284) = ( 713 x 284 ) / 202492

GCD(713, 284) = 202492 / 202492

GCD(713, 284) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 713, 284, 880, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 525, 580, 640
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• GCD of 880, 150, 599, 130
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• GCD of 836, 305, 138, 489

1. What is the GCD of 713, 284, 880, 674?

GCD of 713, 284, 880, 674 is 1

2. Where do I get the detailed procedure to find GCD of 713, 284, 880, 674?

You can find a detailed procedure to find GCD of 713, 284, 880, 674 on our page.

3. How to find GCD of 713, 284, 880, 674 on a calculator?

You can find the GCD of 713, 284, 880, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.