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 868, 354, 158 i.e. 2 largest integer that divides all the numbers equally.
GCD of 868, 354, 158 is 2
GCD(868, 354, 158) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 868, 354, 158 is 2
GCD(868, 354, 158) = 2
Given Input numbers are 868, 354, 158
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Greatest Common Divisior
We found the divisors of 868, 354, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 354, 158 is 2.
Therefore, GCD of numbers 868, 354, 158 is 2
Given Input Data is 868, 354, 158
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 158 is 2 x 79
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(868, 354) = 153636
GCD(868, 354) = ( 868 x 354 ) / 153636
GCD(868, 354) = 307272 / 153636
GCD(868, 354) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 158) = 158
GCD(2, 158) = ( 2 x 158 ) / 158
GCD(2, 158) = 316 / 158
GCD(2, 158) = 2
GCD of 868, 354, 158 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 868, 354, 158?
GCD of 868, 354, 158 is 2
2. Where do I get the detailed procedure to find GCD of 868, 354, 158?
You can find a detailed procedure to find GCD of 868, 354, 158 on our page.
3. How to find GCD of 868, 354, 158 on a calculator?
You can find the GCD of 868, 354, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.