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 32, 282, 799, 712 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 282, 799, 712 is 1
GCD(32, 282, 799, 712) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 282, 799, 712 is 1
GCD(32, 282, 799, 712) = 1
Given Input numbers are 32, 282, 799, 712
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
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 32, 282, 799, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 282, 799, 712 is 1.
Therefore, GCD of numbers 32, 282, 799, 712 is 1
Given Input Data is 32, 282, 799, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 799 is 17 x 47
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(32, 282) = 4512
GCD(32, 282) = ( 32 x 282 ) / 4512
GCD(32, 282) = 9024 / 4512
GCD(32, 282) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 799) = 1598
GCD(2, 799) = ( 2 x 799 ) / 1598
GCD(2, 799) = 1598 / 1598
GCD(2, 799) = 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 32, 282, 799, 712 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 282, 799, 712?
GCD of 32, 282, 799, 712 is 1
2. Where do I get the detailed procedure to find GCD of 32, 282, 799, 712?
You can find a detailed procedure to find GCD of 32, 282, 799, 712 on our page.
3. How to find GCD of 32, 282, 799, 712 on a calculator?
You can find the GCD of 32, 282, 799, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.