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 68, 102, 471, 935 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 102, 471, 935 is 1
GCD(68, 102, 471, 935) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 102, 471, 935 is 1
GCD(68, 102, 471, 935) = 1
Given Input numbers are 68, 102, 471, 935
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Greatest Common Divisior
We found the divisors of 68, 102, 471, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 102, 471, 935 is 1.
Therefore, GCD of numbers 68, 102, 471, 935 is 1
Given Input Data is 68, 102, 471, 935
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 471 is 3 x 157
Prime Factorization of 935 is 5 x 11 x 17
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(68, 102) = 204
GCD(68, 102) = ( 68 x 102 ) / 204
GCD(68, 102) = 6936 / 204
GCD(68, 102) = 34
Step2:
Here we consider the GCD from the above i.e. 34 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(34, 471) = 16014
GCD(34, 471) = ( 34 x 471 ) / 16014
GCD(34, 471) = 16014 / 16014
GCD(34, 471) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 935) = 935
GCD(1, 935) = ( 1 x 935 ) / 935
GCD(1, 935) = 935 / 935
GCD(1, 935) = 1
GCD of 68, 102, 471, 935 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 102, 471, 935?
GCD of 68, 102, 471, 935 is 1
2. Where do I get the detailed procedure to find GCD of 68, 102, 471, 935?
You can find a detailed procedure to find GCD of 68, 102, 471, 935 on our page.
3. How to find GCD of 68, 102, 471, 935 on a calculator?
You can find the GCD of 68, 102, 471, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.