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 772, 337, 132, 223 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 337, 132, 223 is 1
GCD(772, 337, 132, 223) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 337, 132, 223 is 1
GCD(772, 337, 132, 223) = 1
Given Input numbers are 772, 337, 132, 223
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
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 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Greatest Common Divisior
We found the divisors of 772, 337, 132, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 337, 132, 223 is 1.
Therefore, GCD of numbers 772, 337, 132, 223 is 1
Given Input Data is 772, 337, 132, 223
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 337 is 337
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 223 is 223
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(772, 337) = 260164
GCD(772, 337) = ( 772 x 337 ) / 260164
GCD(772, 337) = 260164 / 260164
GCD(772, 337) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 223) = 223
GCD(1, 223) = ( 1 x 223 ) / 223
GCD(1, 223) = 223 / 223
GCD(1, 223) = 1
GCD of 772, 337, 132, 223 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 337, 132, 223?
GCD of 772, 337, 132, 223 is 1
2. Where do I get the detailed procedure to find GCD of 772, 337, 132, 223?
You can find a detailed procedure to find GCD of 772, 337, 132, 223 on our page.
3. How to find GCD of 772, 337, 132, 223 on a calculator?
You can find the GCD of 772, 337, 132, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.