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 608, 142, 74, 234 i.e. 2 largest integer that divides all the numbers equally.
GCD of 608, 142, 74, 234 is 2
GCD(608, 142, 74, 234) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 608, 142, 74, 234 is 2
GCD(608, 142, 74, 234) = 2
Given Input numbers are 608, 142, 74, 234
To find the GCD of numbers using factoring list out all the divisors of each number
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 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Greatest Common Divisior
We found the divisors of 608, 142, 74, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 142, 74, 234 is 2.
Therefore, GCD of numbers 608, 142, 74, 234 is 2
Given Input Data is 608, 142, 74, 234
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 142 is 2 x 71
Prime Factorization of 74 is 2 x 37
Prime Factorization of 234 is 2 x 3 x 3 x 13
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(608, 142) = 43168
GCD(608, 142) = ( 608 x 142 ) / 43168
GCD(608, 142) = 86336 / 43168
GCD(608, 142) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 74) = 74
GCD(2, 74) = ( 2 x 74 ) / 74
GCD(2, 74) = 148 / 74
GCD(2, 74) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 234) = 234
GCD(2, 234) = ( 2 x 234 ) / 234
GCD(2, 234) = 468 / 234
GCD(2, 234) = 2
GCD of 608, 142, 74, 234 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 608, 142, 74, 234?
GCD of 608, 142, 74, 234 is 2
2. Where do I get the detailed procedure to find GCD of 608, 142, 74, 234?
You can find a detailed procedure to find GCD of 608, 142, 74, 234 on our page.
3. How to find GCD of 608, 142, 74, 234 on a calculator?
You can find the GCD of 608, 142, 74, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.