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 52, 510, 762, 836 i.e. 2 largest integer that divides all the numbers equally.
GCD of 52, 510, 762, 836 is 2
GCD(52, 510, 762, 836) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 510, 762, 836 is 2
GCD(52, 510, 762, 836) = 2
Given Input numbers are 52, 510, 762, 836
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
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 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Greatest Common Divisior
We found the divisors of 52, 510, 762, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 510, 762, 836 is 2.
Therefore, GCD of numbers 52, 510, 762, 836 is 2
Given Input Data is 52, 510, 762, 836
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 836 is 2 x 2 x 11 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(52, 510) = 13260
GCD(52, 510) = ( 52 x 510 ) / 13260
GCD(52, 510) = 26520 / 13260
GCD(52, 510) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 762) = 762
GCD(2, 762) = ( 2 x 762 ) / 762
GCD(2, 762) = 1524 / 762
GCD(2, 762) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 836) = 836
GCD(2, 836) = ( 2 x 836 ) / 836
GCD(2, 836) = 1672 / 836
GCD(2, 836) = 2
GCD of 52, 510, 762, 836 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 510, 762, 836?
GCD of 52, 510, 762, 836 is 2
2. Where do I get the detailed procedure to find GCD of 52, 510, 762, 836?
You can find a detailed procedure to find GCD of 52, 510, 762, 836 on our page.
3. How to find GCD of 52, 510, 762, 836 on a calculator?
You can find the GCD of 52, 510, 762, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.