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, 519, 75, 849 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 519, 75, 849 is 1
GCD(118, 519, 75, 849) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 519, 75, 849 is 1
GCD(118, 519, 75, 849) = 1
Given Input numbers are 118, 519, 75, 849
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 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 118, 519, 75, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 519, 75, 849 is 1.
Therefore, GCD of numbers 118, 519, 75, 849 is 1
Given Input Data is 118, 519, 75, 849
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 519 is 3 x 173
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 849 is 3 x 283
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, 519) = 61242
GCD(118, 519) = ( 118 x 519 ) / 61242
GCD(118, 519) = 61242 / 61242
GCD(118, 519) = 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 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
GCD(1, 849) = 849 / 849
GCD(1, 849) = 1
GCD of 118, 519, 75, 849 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 519, 75, 849?
GCD of 118, 519, 75, 849 is 1
2. Where do I get the detailed procedure to find GCD of 118, 519, 75, 849?
You can find a detailed procedure to find GCD of 118, 519, 75, 849 on our page.
3. How to find GCD of 118, 519, 75, 849 on a calculator?
You can find the GCD of 118, 519, 75, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.