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 261, 270, 76, 811 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 270, 76, 811 is 1
GCD(261, 270, 76, 811) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 270, 76, 811 is 1
GCD(261, 270, 76, 811) = 1
Given Input numbers are 261, 270, 76, 811
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Greatest Common Divisior
We found the divisors of 261, 270, 76, 811 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 270, 76, 811 is 1.
Therefore, GCD of numbers 261, 270, 76, 811 is 1
Given Input Data is 261, 270, 76, 811
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 811 is 811
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(261, 270) = 7830
GCD(261, 270) = ( 261 x 270 ) / 7830
GCD(261, 270) = 70470 / 7830
GCD(261, 270) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 76) = 684
GCD(9, 76) = ( 9 x 76 ) / 684
GCD(9, 76) = 684 / 684
GCD(9, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 811
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 811) = 811
GCD(1, 811) = ( 1 x 811 ) / 811
GCD(1, 811) = 811 / 811
GCD(1, 811) = 1
GCD of 261, 270, 76, 811 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 270, 76, 811?
GCD of 261, 270, 76, 811 is 1
2. Where do I get the detailed procedure to find GCD of 261, 270, 76, 811?
You can find a detailed procedure to find GCD of 261, 270, 76, 811 on our page.
3. How to find GCD of 261, 270, 76, 811 on a calculator?
You can find the GCD of 261, 270, 76, 811 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.