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 822, 747, 152, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 747, 152, 460 is 1
GCD(822, 747, 152, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 747, 152, 460 is 1
GCD(822, 747, 152, 460) = 1
Given Input numbers are 822, 747, 152, 460
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 822, 747, 152, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 747, 152, 460 is 1.
Therefore, GCD of numbers 822, 747, 152, 460 is 1
Given Input Data is 822, 747, 152, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 460 is 2 x 2 x 5 x 23
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(822, 747) = 204678
GCD(822, 747) = ( 822 x 747 ) / 204678
GCD(822, 747) = 614034 / 204678
GCD(822, 747) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 152) = 456
GCD(3, 152) = ( 3 x 152 ) / 456
GCD(3, 152) = 456 / 456
GCD(3, 152) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 822, 747, 152, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 747, 152, 460?
GCD of 822, 747, 152, 460 is 1
2. Where do I get the detailed procedure to find GCD of 822, 747, 152, 460?
You can find a detailed procedure to find GCD of 822, 747, 152, 460 on our page.
3. How to find GCD of 822, 747, 152, 460 on a calculator?
You can find the GCD of 822, 747, 152, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.