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, 610, 696, 300 i.e. 2 largest integer that divides all the numbers equally.
GCD of 530, 610, 696, 300 is 2
GCD(530, 610, 696, 300) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 530, 610, 696, 300 is 2
GCD(530, 610, 696, 300) = 2
Given Input numbers are 530, 610, 696, 300
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 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Greatest Common Divisior
We found the divisors of 530, 610, 696, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 610, 696, 300 is 2.
Therefore, GCD of numbers 530, 610, 696, 300 is 2
Given Input Data is 530, 610, 696, 300
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 610 is 2 x 5 x 61
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
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, 610) = 32330
GCD(530, 610) = ( 530 x 610 ) / 32330
GCD(530, 610) = 323300 / 32330
GCD(530, 610) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 696) = 3480
GCD(10, 696) = ( 10 x 696 ) / 3480
GCD(10, 696) = 6960 / 3480
GCD(10, 696) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
GCD(2, 300) = 600 / 300
GCD(2, 300) = 2
GCD of 530, 610, 696, 300 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 530, 610, 696, 300?
GCD of 530, 610, 696, 300 is 2
2. Where do I get the detailed procedure to find GCD of 530, 610, 696, 300?
You can find a detailed procedure to find GCD of 530, 610, 696, 300 on our page.
3. How to find GCD of 530, 610, 696, 300 on a calculator?
You can find the GCD of 530, 610, 696, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.