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 782, 227, 69, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 782, 227, 69, 267 is 1
GCD(782, 227, 69, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 782, 227, 69, 267 is 1
GCD(782, 227, 69, 267) = 1
Given Input numbers are 782, 227, 69, 267
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 782, 227, 69, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 227, 69, 267 is 1.
Therefore, GCD of numbers 782, 227, 69, 267 is 1
Given Input Data is 782, 227, 69, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 227 is 227
Prime Factorization of 69 is 3 x 23
Prime Factorization of 267 is 3 x 89
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(782, 227) = 177514
GCD(782, 227) = ( 782 x 227 ) / 177514
GCD(782, 227) = 177514 / 177514
GCD(782, 227) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
GCD of 782, 227, 69, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 782, 227, 69, 267?
GCD of 782, 227, 69, 267 is 1
2. Where do I get the detailed procedure to find GCD of 782, 227, 69, 267?
You can find a detailed procedure to find GCD of 782, 227, 69, 267 on our page.
3. How to find GCD of 782, 227, 69, 267 on a calculator?
You can find the GCD of 782, 227, 69, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.