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 104, 952, 72, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 104, 952, 72, 643 is 1
GCD(104, 952, 72, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 952, 72, 643 is 1
GCD(104, 952, 72, 643) = 1
Given Input numbers are 104, 952, 72, 643
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 104, 952, 72, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 952, 72, 643 is 1.
Therefore, GCD of numbers 104, 952, 72, 643 is 1
Given Input Data is 104, 952, 72, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 643 is 643
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(104, 952) = 12376
GCD(104, 952) = ( 104 x 952 ) / 12376
GCD(104, 952) = 99008 / 12376
GCD(104, 952) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 72) = 72
GCD(8, 72) = ( 8 x 72 ) / 72
GCD(8, 72) = 576 / 72
GCD(8, 72) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 643) = 5144
GCD(8, 643) = ( 8 x 643 ) / 5144
GCD(8, 643) = 5144 / 5144
GCD(8, 643) = 1
GCD of 104, 952, 72, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 952, 72, 643?
GCD of 104, 952, 72, 643 is 1
2. Where do I get the detailed procedure to find GCD of 104, 952, 72, 643?
You can find a detailed procedure to find GCD of 104, 952, 72, 643 on our page.
3. How to find GCD of 104, 952, 72, 643 on a calculator?
You can find the GCD of 104, 952, 72, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.