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 154, 650, 308 i.e. 2 largest integer that divides all the numbers equally.
GCD of 154, 650, 308 is 2
GCD(154, 650, 308) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 650, 308 is 2
GCD(154, 650, 308) = 2
Given Input numbers are 154, 650, 308
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Greatest Common Divisior
We found the divisors of 154, 650, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 650, 308 is 2.
Therefore, GCD of numbers 154, 650, 308 is 2
Given Input Data is 154, 650, 308
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 308 is 2 x 2 x 7 x 11
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(154, 650) = 50050
GCD(154, 650) = ( 154 x 650 ) / 50050
GCD(154, 650) = 100100 / 50050
GCD(154, 650) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
GCD(2, 308) = 616 / 308
GCD(2, 308) = 2
GCD of 154, 650, 308 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 650, 308?
GCD of 154, 650, 308 is 2
2. Where do I get the detailed procedure to find GCD of 154, 650, 308?
You can find a detailed procedure to find GCD of 154, 650, 308 on our page.
3. How to find GCD of 154, 650, 308 on a calculator?
You can find the GCD of 154, 650, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.