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 66, 231, 267, 781 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 231, 267, 781 is 1
GCD(66, 231, 267, 781) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 231, 267, 781 is 1
GCD(66, 231, 267, 781) = 1
Given Input numbers are 66, 231, 267, 781
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Greatest Common Divisior
We found the divisors of 66, 231, 267, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 231, 267, 781 is 1.
Therefore, GCD of numbers 66, 231, 267, 781 is 1
Given Input Data is 66, 231, 267, 781
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 267 is 3 x 89
Prime Factorization of 781 is 11 x 71
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(66, 231) = 462
GCD(66, 231) = ( 66 x 231 ) / 462
GCD(66, 231) = 15246 / 462
GCD(66, 231) = 33
Step2:
Here we consider the GCD from the above i.e. 33 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(33, 267) = 2937
GCD(33, 267) = ( 33 x 267 ) / 2937
GCD(33, 267) = 8811 / 2937
GCD(33, 267) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 781
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 781) = 2343
GCD(3, 781) = ( 3 x 781 ) / 2343
GCD(3, 781) = 2343 / 2343
GCD(3, 781) = 1
GCD of 66, 231, 267, 781 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 231, 267, 781?
GCD of 66, 231, 267, 781 is 1
2. Where do I get the detailed procedure to find GCD of 66, 231, 267, 781?
You can find a detailed procedure to find GCD of 66, 231, 267, 781 on our page.
3. How to find GCD of 66, 231, 267, 781 on a calculator?
You can find the GCD of 66, 231, 267, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.