GCD of 713, 360, 72, 674 Calculator

Given Input numbers are 713, 360, 72, 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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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, 360, 72, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 360, 72, 674 is 1.

Therefore, GCD of numbers 713, 360, 72, 674 is 1

Given Input Data is 713, 360, 72, 674

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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, 360) = 256680

GCD(713, 360) = ( 713 x 360 ) / 256680

GCD(713, 360) = 256680 / 256680

GCD(713, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 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, 360, 72, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 363, 66, 981
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• GCD of 881, 223, 48, 625
• GCD of 449, 140, 66, 668
• GCD of 975, 604, 36, 988

1. What is the GCD of 713, 360, 72, 674?

GCD of 713, 360, 72, 674 is 1

2. Where do I get the detailed procedure to find GCD of 713, 360, 72, 674?

You can find a detailed procedure to find GCD of 713, 360, 72, 674 on our page.

3. How to find GCD of 713, 360, 72, 674 on a calculator?

You can find the GCD of 713, 360, 72, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.