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, 693, 272, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 510, 693, 272, 764 is 1
GCD(510, 693, 272, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 693, 272, 764 is 1
GCD(510, 693, 272, 764) = 1
Given Input numbers are 510, 693, 272, 764
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 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 510, 693, 272, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 693, 272, 764 is 1.
Therefore, GCD of numbers 510, 693, 272, 764 is 1
Given Input Data is 510, 693, 272, 764
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 693 is 3 x 3 x 7 x 11
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 764 is 2 x 2 x 191
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, 693) = 117810
GCD(510, 693) = ( 510 x 693 ) / 117810
GCD(510, 693) = 353430 / 117810
GCD(510, 693) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 272) = 816
GCD(3, 272) = ( 3 x 272 ) / 816
GCD(3, 272) = 816 / 816
GCD(3, 272) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 510, 693, 272, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 693, 272, 764?
GCD of 510, 693, 272, 764 is 1
2. Where do I get the detailed procedure to find GCD of 510, 693, 272, 764?
You can find a detailed procedure to find GCD of 510, 693, 272, 764 on our page.
3. How to find GCD of 510, 693, 272, 764 on a calculator?
You can find the GCD of 510, 693, 272, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.