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 118, 224, 87, 439 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 224, 87, 439 is 1
GCD(118, 224, 87, 439) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 224, 87, 439 is 1
GCD(118, 224, 87, 439) = 1
Given Input numbers are 118, 224, 87, 439
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
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
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 439
List of positive integer divisors of 439 that divides 439 without a remainder.
1, 439
Greatest Common Divisior
We found the divisors of 118, 224, 87, 439 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 224, 87, 439 is 1.
Therefore, GCD of numbers 118, 224, 87, 439 is 1
Given Input Data is 118, 224, 87, 439
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 87 is 3 x 29
Prime Factorization of 439 is 439
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(118, 224) = 13216
GCD(118, 224) = ( 118 x 224 ) / 13216
GCD(118, 224) = 26432 / 13216
GCD(118, 224) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 439
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 439) = 439
GCD(1, 439) = ( 1 x 439 ) / 439
GCD(1, 439) = 439 / 439
GCD(1, 439) = 1
GCD of 118, 224, 87, 439 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 224, 87, 439?
GCD of 118, 224, 87, 439 is 1
2. Where do I get the detailed procedure to find GCD of 118, 224, 87, 439?
You can find a detailed procedure to find GCD of 118, 224, 87, 439 on our page.
3. How to find GCD of 118, 224, 87, 439 on a calculator?
You can find the GCD of 118, 224, 87, 439 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.