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 102, 608, 134 i.e. 2 largest integer that divides all the numbers equally.
GCD of 102, 608, 134 is 2
GCD(102, 608, 134) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 608, 134 is 2
GCD(102, 608, 134) = 2
Given Input numbers are 102, 608, 134
To find the GCD of numbers using factoring list out all the divisors of each number
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 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Greatest Common Divisior
We found the divisors of 102, 608, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 608, 134 is 2.
Therefore, GCD of numbers 102, 608, 134 is 2
Given Input Data is 102, 608, 134
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 134 is 2 x 67
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(102, 608) = 31008
GCD(102, 608) = ( 102 x 608 ) / 31008
GCD(102, 608) = 62016 / 31008
GCD(102, 608) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 134) = 134
GCD(2, 134) = ( 2 x 134 ) / 134
GCD(2, 134) = 268 / 134
GCD(2, 134) = 2
GCD of 102, 608, 134 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 608, 134?
GCD of 102, 608, 134 is 2
2. Where do I get the detailed procedure to find GCD of 102, 608, 134?
You can find a detailed procedure to find GCD of 102, 608, 134 on our page.
3. How to find GCD of 102, 608, 134 on a calculator?
You can find the GCD of 102, 608, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.