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 110, 924, 267, 713 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 924, 267, 713 is 1
GCD(110, 924, 267, 713) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 924, 267, 713 is 1
GCD(110, 924, 267, 713) = 1
Given Input numbers are 110, 924, 267, 713
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Greatest Common Divisior
We found the divisors of 110, 924, 267, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 924, 267, 713 is 1.
Therefore, GCD of numbers 110, 924, 267, 713 is 1
Given Input Data is 110, 924, 267, 713
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 267 is 3 x 89
Prime Factorization of 713 is 23 x 31
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(110, 924) = 4620
GCD(110, 924) = ( 110 x 924 ) / 4620
GCD(110, 924) = 101640 / 4620
GCD(110, 924) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 267) = 5874
GCD(22, 267) = ( 22 x 267 ) / 5874
GCD(22, 267) = 5874 / 5874
GCD(22, 267) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
GCD(1, 713) = 713 / 713
GCD(1, 713) = 1
GCD of 110, 924, 267, 713 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 924, 267, 713?
GCD of 110, 924, 267, 713 is 1
2. Where do I get the detailed procedure to find GCD of 110, 924, 267, 713?
You can find a detailed procedure to find GCD of 110, 924, 267, 713 on our page.
3. How to find GCD of 110, 924, 267, 713 on a calculator?
You can find the GCD of 110, 924, 267, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.