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 820, 530, 79, 754 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 530, 79, 754 is 1
GCD(820, 530, 79, 754) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 530, 79, 754 is 1
GCD(820, 530, 79, 754) = 1
Given Input numbers are 820, 530, 79, 754
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
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 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Greatest Common Divisior
We found the divisors of 820, 530, 79, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 530, 79, 754 is 1.
Therefore, GCD of numbers 820, 530, 79, 754 is 1
Given Input Data is 820, 530, 79, 754
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 79 is 79
Prime Factorization of 754 is 2 x 13 x 29
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(820, 530) = 43460
GCD(820, 530) = ( 820 x 530 ) / 43460
GCD(820, 530) = 434600 / 43460
GCD(820, 530) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 79) = 790
GCD(10, 79) = ( 10 x 79 ) / 790
GCD(10, 79) = 790 / 790
GCD(10, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
GCD of 820, 530, 79, 754 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 530, 79, 754?
GCD of 820, 530, 79, 754 is 1
2. Where do I get the detailed procedure to find GCD of 820, 530, 79, 754?
You can find a detailed procedure to find GCD of 820, 530, 79, 754 on our page.
3. How to find GCD of 820, 530, 79, 754 on a calculator?
You can find the GCD of 820, 530, 79, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.