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, 771, 94, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 510, 771, 94, 369 is 1
GCD(510, 771, 94, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 771, 94, 369 is 1
GCD(510, 771, 94, 369) = 1
Given Input numbers are 510, 771, 94, 369
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 510, 771, 94, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 771, 94, 369 is 1.
Therefore, GCD of numbers 510, 771, 94, 369 is 1
Given Input Data is 510, 771, 94, 369
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 771 is 3 x 257
Prime Factorization of 94 is 2 x 47
Prime Factorization of 369 is 3 x 3 x 41
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, 771) = 131070
GCD(510, 771) = ( 510 x 771 ) / 131070
GCD(510, 771) = 393210 / 131070
GCD(510, 771) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 94) = 282
GCD(3, 94) = ( 3 x 94 ) / 282
GCD(3, 94) = 282 / 282
GCD(3, 94) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
GCD of 510, 771, 94, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 771, 94, 369?
GCD of 510, 771, 94, 369 is 1
2. Where do I get the detailed procedure to find GCD of 510, 771, 94, 369?
You can find a detailed procedure to find GCD of 510, 771, 94, 369 on our page.
3. How to find GCD of 510, 771, 94, 369 on a calculator?
You can find the GCD of 510, 771, 94, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.