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 600, 150, 760, 254 i.e. 2 largest integer that divides all the numbers equally.
GCD of 600, 150, 760, 254 is 2
GCD(600, 150, 760, 254) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 150, 760, 254 is 2
GCD(600, 150, 760, 254) = 2
Given Input numbers are 600, 150, 760, 254
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 600, 150, 760, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 150, 760, 254 is 2.
Therefore, GCD of numbers 600, 150, 760, 254 is 2
Given Input Data is 600, 150, 760, 254
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 254 is 2 x 127
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(600, 150) = 600
GCD(600, 150) = ( 600 x 150 ) / 600
GCD(600, 150) = 90000 / 600
GCD(600, 150) = 150
Step2:
Here we consider the GCD from the above i.e. 150 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(150, 760) = 11400
GCD(150, 760) = ( 150 x 760 ) / 11400
GCD(150, 760) = 114000 / 11400
GCD(150, 760) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 254) = 1270
GCD(10, 254) = ( 10 x 254 ) / 1270
GCD(10, 254) = 2540 / 1270
GCD(10, 254) = 2
GCD of 600, 150, 760, 254 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 150, 760, 254?
GCD of 600, 150, 760, 254 is 2
2. Where do I get the detailed procedure to find GCD of 600, 150, 760, 254?
You can find a detailed procedure to find GCD of 600, 150, 760, 254 on our page.
3. How to find GCD of 600, 150, 760, 254 on a calculator?
You can find the GCD of 600, 150, 760, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.