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 655, 600, 84, 276 i.e. 1 largest integer that divides all the numbers equally.
GCD of 655, 600, 84, 276 is 1
GCD(655, 600, 84, 276) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 655, 600, 84, 276 is 1
GCD(655, 600, 84, 276) = 1
Given Input numbers are 655, 600, 84, 276
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
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 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Greatest Common Divisior
We found the divisors of 655, 600, 84, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 600, 84, 276 is 1.
Therefore, GCD of numbers 655, 600, 84, 276 is 1
Given Input Data is 655, 600, 84, 276
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 655 is 5 x 131
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 276 is 2 x 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
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(655, 600) = 78600
GCD(655, 600) = ( 655 x 600 ) / 78600
GCD(655, 600) = 393000 / 78600
GCD(655, 600) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 84) = 420
GCD(5, 84) = ( 5 x 84 ) / 420
GCD(5, 84) = 420 / 420
GCD(5, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 276) = 276
GCD(1, 276) = ( 1 x 276 ) / 276
GCD(1, 276) = 276 / 276
GCD(1, 276) = 1
GCD of 655, 600, 84, 276 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 655, 600, 84, 276?
GCD of 655, 600, 84, 276 is 1
2. Where do I get the detailed procedure to find GCD of 655, 600, 84, 276?
You can find a detailed procedure to find GCD of 655, 600, 84, 276 on our page.
3. How to find GCD of 655, 600, 84, 276 on a calculator?
You can find the GCD of 655, 600, 84, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.