GCD of 530, 126, 774, 708 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 530, 126, 774, 708 i.e. 2 largest integer that divides all the numbers equally.

GCD of 530, 126, 774, 708 is 2

GCD(530, 126, 774, 708) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 530, 126, 774, 708 is 2

GCD(530, 126, 774, 708) = 2

GCD of 530,126,774,708 Calculator

GCDof 530,126,774,708 is 2

Given Input numbers are 530, 126, 774, 708

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 530, 126, 774, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 126, 774, 708 is 2.

Therefore, GCD of numbers 530, 126, 774, 708 is 2

Finding GCD of 530, 126, 774, 708 using Prime Factorization

Given Input Data is 530, 126, 774, 708

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 708 is 2 x 2 x 3 x 59

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 530, 126, 774, 708 using LCM Formula

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(530, 126) = 33390

GCD(530, 126) = ( 530 x 126 ) / 33390

GCD(530, 126) = 66780 / 33390

GCD(530, 126) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

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

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

GCD of 530, 126, 774, 708 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 530, 126, 774, 708

1. What is the GCD of 530, 126, 774, 708?

GCD of 530, 126, 774, 708 is 2


2. Where do I get the detailed procedure to find GCD of 530, 126, 774, 708?

You can find a detailed procedure to find GCD of 530, 126, 774, 708 on our page.


3. How to find GCD of 530, 126, 774, 708 on a calculator?

You can find the GCD of 530, 126, 774, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.