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 513, 142, 868, 766 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 142, 868, 766 is 1
GCD(513, 142, 868, 766) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 142, 868, 766 is 1
GCD(513, 142, 868, 766) = 1
Given Input numbers are 513, 142, 868, 766
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Greatest Common Divisior
We found the divisors of 513, 142, 868, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 142, 868, 766 is 1.
Therefore, GCD of numbers 513, 142, 868, 766 is 1
Given Input Data is 513, 142, 868, 766
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 142 is 2 x 71
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 766 is 2 x 383
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(513, 142) = 72846
GCD(513, 142) = ( 513 x 142 ) / 72846
GCD(513, 142) = 72846 / 72846
GCD(513, 142) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 766
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 766) = 766
GCD(1, 766) = ( 1 x 766 ) / 766
GCD(1, 766) = 766 / 766
GCD(1, 766) = 1
GCD of 513, 142, 868, 766 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 142, 868, 766?
GCD of 513, 142, 868, 766 is 1
2. Where do I get the detailed procedure to find GCD of 513, 142, 868, 766?
You can find a detailed procedure to find GCD of 513, 142, 868, 766 on our page.
3. How to find GCD of 513, 142, 868, 766 on a calculator?
You can find the GCD of 513, 142, 868, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.