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 37, 153, 793, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 153, 793, 432 is 1
GCD(37, 153, 793, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 153, 793, 432 is 1
GCD(37, 153, 793, 432) = 1
Given Input numbers are 37, 153, 793, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 37, 153, 793, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 153, 793, 432 is 1.
Therefore, GCD of numbers 37, 153, 793, 432 is 1
Given Input Data is 37, 153, 793, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 793 is 13 x 61
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 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(37, 153) = 5661
GCD(37, 153) = ( 37 x 153 ) / 5661
GCD(37, 153) = 5661 / 5661
GCD(37, 153) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 793) = 793
GCD(1, 793) = ( 1 x 793 ) / 793
GCD(1, 793) = 793 / 793
GCD(1, 793) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 37, 153, 793, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 153, 793, 432?
GCD of 37, 153, 793, 432 is 1
2. Where do I get the detailed procedure to find GCD of 37, 153, 793, 432?
You can find a detailed procedure to find GCD of 37, 153, 793, 432 on our page.
3. How to find GCD of 37, 153, 793, 432 on a calculator?
You can find the GCD of 37, 153, 793, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.