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 73, 412, 822, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 412, 822, 553 is 1
GCD(73, 412, 822, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 412, 822, 553 is 1
GCD(73, 412, 822, 553) = 1
Given Input numbers are 73, 412, 822, 553
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
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 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 73, 412, 822, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 412, 822, 553 is 1.
Therefore, GCD of numbers 73, 412, 822, 553 is 1
Given Input Data is 73, 412, 822, 553
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 553 is 7 x 79
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(73, 412) = 30076
GCD(73, 412) = ( 73 x 412 ) / 30076
GCD(73, 412) = 30076 / 30076
GCD(73, 412) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 822
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
GCD(1, 822) = 822 / 822
GCD(1, 822) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
GCD of 73, 412, 822, 553 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 412, 822, 553?
GCD of 73, 412, 822, 553 is 1
2. Where do I get the detailed procedure to find GCD of 73, 412, 822, 553?
You can find a detailed procedure to find GCD of 73, 412, 822, 553 on our page.
3. How to find GCD of 73, 412, 822, 553 on a calculator?
You can find the GCD of 73, 412, 822, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.