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 195, 640, 985, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 640, 985, 104 is 1
GCD(195, 640, 985, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 640, 985, 104 is 1
GCD(195, 640, 985, 104) = 1
Given Input numbers are 195, 640, 985, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 195, 640, 985, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 640, 985, 104 is 1.
Therefore, GCD of numbers 195, 640, 985, 104 is 1
Given Input Data is 195, 640, 985, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 985 is 5 x 197
Prime Factorization of 104 is 2 x 2 x 2 x 13
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(195, 640) = 24960
GCD(195, 640) = ( 195 x 640 ) / 24960
GCD(195, 640) = 124800 / 24960
GCD(195, 640) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 985) = 985
GCD(5, 985) = ( 5 x 985 ) / 985
GCD(5, 985) = 4925 / 985
GCD(5, 985) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 104) = 520
GCD(5, 104) = ( 5 x 104 ) / 520
GCD(5, 104) = 520 / 520
GCD(5, 104) = 1
GCD of 195, 640, 985, 104 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 640, 985, 104?
GCD of 195, 640, 985, 104 is 1
2. Where do I get the detailed procedure to find GCD of 195, 640, 985, 104?
You can find a detailed procedure to find GCD of 195, 640, 985, 104 on our page.
3. How to find GCD of 195, 640, 985, 104 on a calculator?
You can find the GCD of 195, 640, 985, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.