GCD of 572, 630, 34, 702 Calculator

Given Input numbers are 572, 630, 34, 702

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 572, 630, 34, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 630, 34, 702 is 2.

Therefore, GCD of numbers 572, 630, 34, 702 is 2

Given Input Data is 572, 630, 34, 702

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 34 is 2 x 17

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(572, 630) = 180180

GCD(572, 630) = ( 572 x 630 ) / 180180

GCD(572, 630) = 360360 / 180180

GCD(572, 630) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 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 572, 630, 34, 702 is 2

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1. What is the GCD of 572, 630, 34, 702?

GCD of 572, 630, 34, 702 is 2

2. Where do I get the detailed procedure to find GCD of 572, 630, 34, 702?

You can find a detailed procedure to find GCD of 572, 630, 34, 702 on our page.

3. How to find GCD of 572, 630, 34, 702 on a calculator?

You can find the GCD of 572, 630, 34, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.