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 267, 313, 78, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 267, 313, 78, 753 is 1
GCD(267, 313, 78, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 267, 313, 78, 753 is 1
GCD(267, 313, 78, 753) = 1
Given Input numbers are 267, 313, 78, 753
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 267, 313, 78, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 313, 78, 753 is 1.
Therefore, GCD of numbers 267, 313, 78, 753 is 1
Given Input Data is 267, 313, 78, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 267 is 3 x 89
Prime Factorization of 313 is 313
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 753 is 3 x 251
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(267, 313) = 83571
GCD(267, 313) = ( 267 x 313 ) / 83571
GCD(267, 313) = 83571 / 83571
GCD(267, 313) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 267, 313, 78, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 267, 313, 78, 753?
GCD of 267, 313, 78, 753 is 1
2. Where do I get the detailed procedure to find GCD of 267, 313, 78, 753?
You can find a detailed procedure to find GCD of 267, 313, 78, 753 on our page.
3. How to find GCD of 267, 313, 78, 753 on a calculator?
You can find the GCD of 267, 313, 78, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.