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 numbers 530, 126, 774, 708 is 2
GCD(530, 126, 774, 708) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.