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 558, 119, 86, 680 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 119, 86, 680 is 1
GCD(558, 119, 86, 680) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 119, 86, 680 is 1
GCD(558, 119, 86, 680) = 1
Given Input numbers are 558, 119, 86, 680
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Greatest Common Divisior
We found the divisors of 558, 119, 86, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 119, 86, 680 is 1.
Therefore, GCD of numbers 558, 119, 86, 680 is 1
Given Input Data is 558, 119, 86, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 119 is 7 x 17
Prime Factorization of 86 is 2 x 43
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(558, 119) = 66402
GCD(558, 119) = ( 558 x 119 ) / 66402
GCD(558, 119) = 66402 / 66402
GCD(558, 119) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
GCD of 558, 119, 86, 680 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 119, 86, 680?
GCD of 558, 119, 86, 680 is 1
2. Where do I get the detailed procedure to find GCD of 558, 119, 86, 680?
You can find a detailed procedure to find GCD of 558, 119, 86, 680 on our page.
3. How to find GCD of 558, 119, 86, 680 on a calculator?
You can find the GCD of 558, 119, 86, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.