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 212, 132, 739, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 132, 739, 991 is 1
GCD(212, 132, 739, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 132, 739, 991 is 1
GCD(212, 132, 739, 991) = 1
Given Input numbers are 212, 132, 739, 991
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Greatest Common Divisior
We found the divisors of 212, 132, 739, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 132, 739, 991 is 1.
Therefore, GCD of numbers 212, 132, 739, 991 is 1
Given Input Data is 212, 132, 739, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 739 is 739
Prime Factorization of 991 is 991
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(212, 132) = 6996
GCD(212, 132) = ( 212 x 132 ) / 6996
GCD(212, 132) = 27984 / 6996
GCD(212, 132) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 739) = 2956
GCD(4, 739) = ( 4 x 739 ) / 2956
GCD(4, 739) = 2956 / 2956
GCD(4, 739) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 1
GCD of 212, 132, 739, 991 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 132, 739, 991?
GCD of 212, 132, 739, 991 is 1
2. Where do I get the detailed procedure to find GCD of 212, 132, 739, 991?
You can find a detailed procedure to find GCD of 212, 132, 739, 991 on our page.
3. How to find GCD of 212, 132, 739, 991 on a calculator?
You can find the GCD of 212, 132, 739, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.