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 618, 140, 342 i.e. 2 largest integer that divides all the numbers equally.
GCD of 618, 140, 342 is 2
GCD(618, 140, 342) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 618, 140, 342 is 2
GCD(618, 140, 342) = 2
Given Input numbers are 618, 140, 342
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Greatest Common Divisior
We found the divisors of 618, 140, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 140, 342 is 2.
Therefore, GCD of numbers 618, 140, 342 is 2
Given Input Data is 618, 140, 342
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 342 is 2 x 3 x 3 x 19
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(618, 140) = 43260
GCD(618, 140) = ( 618 x 140 ) / 43260
GCD(618, 140) = 86520 / 43260
GCD(618, 140) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
GCD(2, 342) = 684 / 342
GCD(2, 342) = 2
GCD of 618, 140, 342 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 618, 140, 342?
GCD of 618, 140, 342 is 2
2. Where do I get the detailed procedure to find GCD of 618, 140, 342?
You can find a detailed procedure to find GCD of 618, 140, 342 on our page.
3. How to find GCD of 618, 140, 342 on a calculator?
You can find the GCD of 618, 140, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.