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 332, 752, 19, 712 i.e. 1 largest integer that divides all the numbers equally.
GCD of 332, 752, 19, 712 is 1
GCD(332, 752, 19, 712) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 752, 19, 712 is 1
GCD(332, 752, 19, 712) = 1
Given Input numbers are 332, 752, 19, 712
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Greatest Common Divisior
We found the divisors of 332, 752, 19, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 752, 19, 712 is 1.
Therefore, GCD of numbers 332, 752, 19, 712 is 1
Given Input Data is 332, 752, 19, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 19 is 19
Prime Factorization of 712 is 2 x 2 x 2 x 89
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(332, 752) = 62416
GCD(332, 752) = ( 332 x 752 ) / 62416
GCD(332, 752) = 249664 / 62416
GCD(332, 752) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 19) = 76
GCD(4, 19) = ( 4 x 19 ) / 76
GCD(4, 19) = 76 / 76
GCD(4, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
GCD(1, 712) = 712 / 712
GCD(1, 712) = 1
GCD of 332, 752, 19, 712 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 752, 19, 712?
GCD of 332, 752, 19, 712 is 1
2. Where do I get the detailed procedure to find GCD of 332, 752, 19, 712?
You can find a detailed procedure to find GCD of 332, 752, 19, 712 on our page.
3. How to find GCD of 332, 752, 19, 712 on a calculator?
You can find the GCD of 332, 752, 19, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.