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 712, 441, 35, 192 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 441, 35, 192 is 1
GCD(712, 441, 35, 192) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 441, 35, 192 is 1
GCD(712, 441, 35, 192) = 1
Given Input numbers are 712, 441, 35, 192
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Greatest Common Divisior
We found the divisors of 712, 441, 35, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 441, 35, 192 is 1.
Therefore, GCD of numbers 712, 441, 35, 192 is 1
Given Input Data is 712, 441, 35, 192
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 35 is 5 x 7
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
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(712, 441) = 313992
GCD(712, 441) = ( 712 x 441 ) / 313992
GCD(712, 441) = 313992 / 313992
GCD(712, 441) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 192
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 192) = 192
GCD(1, 192) = ( 1 x 192 ) / 192
GCD(1, 192) = 192 / 192
GCD(1, 192) = 1
GCD of 712, 441, 35, 192 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 441, 35, 192?
GCD of 712, 441, 35, 192 is 1
2. Where do I get the detailed procedure to find GCD of 712, 441, 35, 192?
You can find a detailed procedure to find GCD of 712, 441, 35, 192 on our page.
3. How to find GCD of 712, 441, 35, 192 on a calculator?
You can find the GCD of 712, 441, 35, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.