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 50, 666, 676, 600 i.e. 2 largest integer that divides all the numbers equally.
GCD of 50, 666, 676, 600 is 2
GCD(50, 666, 676, 600) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 666, 676, 600 is 2
GCD(50, 666, 676, 600) = 2
Given Input numbers are 50, 666, 676, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
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
Greatest Common Divisior
We found the divisors of 50, 666, 676, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 666, 676, 600 is 2.
Therefore, GCD of numbers 50, 666, 676, 600 is 2
Given Input Data is 50, 666, 676, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
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(50, 666) = 16650
GCD(50, 666) = ( 50 x 666 ) / 16650
GCD(50, 666) = 33300 / 16650
GCD(50, 666) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
GCD(2, 676) = 1352 / 676
GCD(2, 676) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
GCD(2, 600) = 1200 / 600
GCD(2, 600) = 2
GCD of 50, 666, 676, 600 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 666, 676, 600?
GCD of 50, 666, 676, 600 is 2
2. Where do I get the detailed procedure to find GCD of 50, 666, 676, 600?
You can find a detailed procedure to find GCD of 50, 666, 676, 600 on our page.
3. How to find GCD of 50, 666, 676, 600 on a calculator?
You can find the GCD of 50, 666, 676, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.