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 852, 653, 38 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 653, 38 is 1
GCD(852, 653, 38) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 653, 38 is 1
GCD(852, 653, 38) = 1
Given Input numbers are 852, 653, 38
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Greatest Common Divisior
We found the divisors of 852, 653, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 653, 38 is 1.
Therefore, GCD of numbers 852, 653, 38 is 1
Given Input Data is 852, 653, 38
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 653 is 653
Prime Factorization of 38 is 2 x 19
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(852, 653) = 556356
GCD(852, 653) = ( 852 x 653 ) / 556356
GCD(852, 653) = 556356 / 556356
GCD(852, 653) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
GCD of 852, 653, 38 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 653, 38?
GCD of 852, 653, 38 is 1
2. Where do I get the detailed procedure to find GCD of 852, 653, 38?
You can find a detailed procedure to find GCD of 852, 653, 38 on our page.
3. How to find GCD of 852, 653, 38 on a calculator?
You can find the GCD of 852, 653, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.