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 12, 761, 106, 573 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 761, 106, 573 is 1
GCD(12, 761, 106, 573) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 761, 106, 573 is 1
GCD(12, 761, 106, 573) = 1
Given Input numbers are 12, 761, 106, 573
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Greatest Common Divisior
We found the divisors of 12, 761, 106, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 761, 106, 573 is 1.
Therefore, GCD of numbers 12, 761, 106, 573 is 1
Given Input Data is 12, 761, 106, 573
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 761 is 761
Prime Factorization of 106 is 2 x 53
Prime Factorization of 573 is 3 x 191
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(12, 761) = 9132
GCD(12, 761) = ( 12 x 761 ) / 9132
GCD(12, 761) = 9132 / 9132
GCD(12, 761) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 573
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 573) = 573
GCD(1, 573) = ( 1 x 573 ) / 573
GCD(1, 573) = 573 / 573
GCD(1, 573) = 1
GCD of 12, 761, 106, 573 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 761, 106, 573?
GCD of 12, 761, 106, 573 is 1
2. Where do I get the detailed procedure to find GCD of 12, 761, 106, 573?
You can find a detailed procedure to find GCD of 12, 761, 106, 573 on our page.
3. How to find GCD of 12, 761, 106, 573 on a calculator?
You can find the GCD of 12, 761, 106, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.