GCD of 510, 196, 679 Calculator
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 510, 196, 679 i.e. 1 largest integer that divides all the numbers equally.
GCD of 510, 196, 679 is 1
GCD(510, 196, 679) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 196, 679 is 1
GCD(510, 196, 679) = 1
GCDof 510,196,679 is 1
Given Input numbers are 510, 196, 679
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Greatest Common Divisior
We found the divisors of 510, 196, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 196, 679 is 1.
Therefore, GCD of numbers 510, 196, 679 is 1
Given Input Data is 510, 196, 679
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 679 is 7 x 97
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 510, 196, 679 using LCM Formula
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(510, 196) = 49980
GCD(510, 196) = ( 510 x 196 ) / 49980
GCD(510, 196) = 99960 / 49980
GCD(510, 196) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 679) = 1358
GCD(2, 679) = ( 2 x 679 ) / 1358
GCD(2, 679) = 1358 / 1358
GCD(2, 679) = 1
GCD of 510, 196, 679 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 510, 196, 679
1. What is the GCD of 510, 196, 679?
GCD of 510, 196, 679 is 1
2. Where do I get the detailed procedure to find GCD of 510, 196, 679?
You can find a detailed procedure to find GCD of 510, 196, 679 on our page.
3. How to find GCD of 510, 196, 679 on a calculator?
You can find the GCD of 510, 196, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.