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, 240, 679, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 510, 240, 679, 529 is 1
GCD(510, 240, 679, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 240, 679, 529 is 1
GCD(510, 240, 679, 529) = 1
Given Input numbers are 510, 240, 679, 529
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 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 510, 240, 679, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 240, 679, 529 is 1.
Therefore, GCD of numbers 510, 240, 679, 529 is 1
Given Input Data is 510, 240, 679, 529
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 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 679 is 7 x 97
Prime Factorization of 529 is 23 x 23
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(510, 240) = 4080
GCD(510, 240) = ( 510 x 240 ) / 4080
GCD(510, 240) = 122400 / 4080
GCD(510, 240) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 679) = 20370
GCD(30, 679) = ( 30 x 679 ) / 20370
GCD(30, 679) = 20370 / 20370
GCD(30, 679) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 510, 240, 679, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 240, 679, 529?
GCD of 510, 240, 679, 529 is 1
2. Where do I get the detailed procedure to find GCD of 510, 240, 679, 529?
You can find a detailed procedure to find GCD of 510, 240, 679, 529 on our page.
3. How to find GCD of 510, 240, 679, 529 on a calculator?
You can find the GCD of 510, 240, 679, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.