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 304, 535, 32, 712 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 535, 32, 712 is 1
GCD(304, 535, 32, 712) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 535, 32, 712 is 1
GCD(304, 535, 32, 712) = 1
Given Input numbers are 304, 535, 32, 712
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
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 304, 535, 32, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 535, 32, 712 is 1.
Therefore, GCD of numbers 304, 535, 32, 712 is 1
Given Input Data is 304, 535, 32, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 535 is 5 x 107
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
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(304, 535) = 162640
GCD(304, 535) = ( 304 x 535 ) / 162640
GCD(304, 535) = 162640 / 162640
GCD(304, 535) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 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 304, 535, 32, 712 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 535, 32, 712?
GCD of 304, 535, 32, 712 is 1
2. Where do I get the detailed procedure to find GCD of 304, 535, 32, 712?
You can find a detailed procedure to find GCD of 304, 535, 32, 712 on our page.
3. How to find GCD of 304, 535, 32, 712 on a calculator?
You can find the GCD of 304, 535, 32, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.