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 587, 131, 75, 224 i.e. 1 largest integer that divides all the numbers equally.
GCD of 587, 131, 75, 224 is 1
GCD(587, 131, 75, 224) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 587, 131, 75, 224 is 1
GCD(587, 131, 75, 224) = 1
Given Input numbers are 587, 131, 75, 224
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Greatest Common Divisior
We found the divisors of 587, 131, 75, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 587, 131, 75, 224 is 1.
Therefore, GCD of numbers 587, 131, 75, 224 is 1
Given Input Data is 587, 131, 75, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 587 is 587
Prime Factorization of 131 is 131
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
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(587, 131) = 76897
GCD(587, 131) = ( 587 x 131 ) / 76897
GCD(587, 131) = 76897 / 76897
GCD(587, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
GCD(1, 224) = 224 / 224
GCD(1, 224) = 1
GCD of 587, 131, 75, 224 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 587, 131, 75, 224?
GCD of 587, 131, 75, 224 is 1
2. Where do I get the detailed procedure to find GCD of 587, 131, 75, 224?
You can find a detailed procedure to find GCD of 587, 131, 75, 224 on our page.
3. How to find GCD of 587, 131, 75, 224 on a calculator?
You can find the GCD of 587, 131, 75, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.