GCD of 574, 516, 702, 702 Calculator

Given Input numbers are 574, 516, 702, 702

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

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 574, 516, 702, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 516, 702, 702 is 2.

Therefore, GCD of numbers 574, 516, 702, 702 is 2

Given Input Data is 574, 516, 702, 702

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(574, 516) = 148092

GCD(574, 516) = ( 574 x 516 ) / 148092

GCD(574, 516) = 296184 / 148092

GCD(574, 516) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 574, 516, 702, 702 is 2

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1. What is the GCD of 574, 516, 702, 702?

GCD of 574, 516, 702, 702 is 2

2. Where do I get the detailed procedure to find GCD of 574, 516, 702, 702?

You can find a detailed procedure to find GCD of 574, 516, 702, 702 on our page.

3. How to find GCD of 574, 516, 702, 702 on a calculator?

You can find the GCD of 574, 516, 702, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.