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 361, 752, 296, 712 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 752, 296, 712 is 1
GCD(361, 752, 296, 712) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 752, 296, 712 is 1
GCD(361, 752, 296, 712) = 1
Given Input numbers are 361, 752, 296, 712
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
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 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
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 361, 752, 296, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 752, 296, 712 is 1.
Therefore, GCD of numbers 361, 752, 296, 712 is 1
Given Input Data is 361, 752, 296, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 296 is 2 x 2 x 2 x 37
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(361, 752) = 271472
GCD(361, 752) = ( 361 x 752 ) / 271472
GCD(361, 752) = 271472 / 271472
GCD(361, 752) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 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 361, 752, 296, 712 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 752, 296, 712?
GCD of 361, 752, 296, 712 is 1
2. Where do I get the detailed procedure to find GCD of 361, 752, 296, 712?
You can find a detailed procedure to find GCD of 361, 752, 296, 712 on our page.
3. How to find GCD of 361, 752, 296, 712 on a calculator?
You can find the GCD of 361, 752, 296, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.