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 588, 900, 107, 367 i.e. 1 largest integer that divides all the numbers equally.
GCD of 588, 900, 107, 367 is 1
GCD(588, 900, 107, 367) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 588, 900, 107, 367 is 1
GCD(588, 900, 107, 367) = 1
Given Input numbers are 588, 900, 107, 367
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Greatest Common Divisior
We found the divisors of 588, 900, 107, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 900, 107, 367 is 1.
Therefore, GCD of numbers 588, 900, 107, 367 is 1
Given Input Data is 588, 900, 107, 367
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 107 is 107
Prime Factorization of 367 is 367
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(588, 900) = 44100
GCD(588, 900) = ( 588 x 900 ) / 44100
GCD(588, 900) = 529200 / 44100
GCD(588, 900) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 107) = 1284
GCD(12, 107) = ( 12 x 107 ) / 1284
GCD(12, 107) = 1284 / 1284
GCD(12, 107) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 367) = 367
GCD(1, 367) = ( 1 x 367 ) / 367
GCD(1, 367) = 367 / 367
GCD(1, 367) = 1
GCD of 588, 900, 107, 367 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 588, 900, 107, 367?
GCD of 588, 900, 107, 367 is 1
2. Where do I get the detailed procedure to find GCD of 588, 900, 107, 367?
You can find a detailed procedure to find GCD of 588, 900, 107, 367 on our page.
3. How to find GCD of 588, 900, 107, 367 on a calculator?
You can find the GCD of 588, 900, 107, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.