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 859, 118, 19, 498 i.e. 1 largest integer that divides all the numbers equally.
GCD of 859, 118, 19, 498 is 1
GCD(859, 118, 19, 498) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 859, 118, 19, 498 is 1
GCD(859, 118, 19, 498) = 1
Given Input numbers are 859, 118, 19, 498
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Greatest Common Divisior
We found the divisors of 859, 118, 19, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 859, 118, 19, 498 is 1.
Therefore, GCD of numbers 859, 118, 19, 498 is 1
Given Input Data is 859, 118, 19, 498
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 859 is 859
Prime Factorization of 118 is 2 x 59
Prime Factorization of 19 is 19
Prime Factorization of 498 is 2 x 3 x 83
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(859, 118) = 101362
GCD(859, 118) = ( 859 x 118 ) / 101362
GCD(859, 118) = 101362 / 101362
GCD(859, 118) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
GCD(1, 498) = 498 / 498
GCD(1, 498) = 1
GCD of 859, 118, 19, 498 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 859, 118, 19, 498?
GCD of 859, 118, 19, 498 is 1
2. Where do I get the detailed procedure to find GCD of 859, 118, 19, 498?
You can find a detailed procedure to find GCD of 859, 118, 19, 498 on our page.
3. How to find GCD of 859, 118, 19, 498 on a calculator?
You can find the GCD of 859, 118, 19, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.