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 756, 750, 530, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 750, 530, 731 is 1
GCD(756, 750, 530, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 750, 530, 731 is 1
GCD(756, 750, 530, 731) = 1
Given Input numbers are 756, 750, 530, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 756, 750, 530, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 750, 530, 731 is 1.
Therefore, GCD of numbers 756, 750, 530, 731 is 1
Given Input Data is 756, 750, 530, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 731 is 17 x 43
The above numbers do not have any common prime factor. So GCD is 1
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(756, 750) = 94500
GCD(756, 750) = ( 756 x 750 ) / 94500
GCD(756, 750) = 567000 / 94500
GCD(756, 750) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 530
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 530) = 1590
GCD(6, 530) = ( 6 x 530 ) / 1590
GCD(6, 530) = 3180 / 1590
GCD(6, 530) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
GCD(2, 731) = 1462 / 1462
GCD(2, 731) = 1
GCD of 756, 750, 530, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 750, 530, 731?
GCD of 756, 750, 530, 731 is 1
2. Where do I get the detailed procedure to find GCD of 756, 750, 530, 731?
You can find a detailed procedure to find GCD of 756, 750, 530, 731 on our page.
3. How to find GCD of 756, 750, 530, 731 on a calculator?
You can find the GCD of 756, 750, 530, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.