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 264, 673, 75, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 264, 673, 75, 116 is 1
GCD(264, 673, 75, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 673, 75, 116 is 1
GCD(264, 673, 75, 116) = 1
Given Input numbers are 264, 673, 75, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 264, 673, 75, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 673, 75, 116 is 1.
Therefore, GCD of numbers 264, 673, 75, 116 is 1
Given Input Data is 264, 673, 75, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 673 is 673
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 116 is 2 x 2 x 29
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(264, 673) = 177672
GCD(264, 673) = ( 264 x 673 ) / 177672
GCD(264, 673) = 177672 / 177672
GCD(264, 673) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 264, 673, 75, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 673, 75, 116?
GCD of 264, 673, 75, 116 is 1
2. Where do I get the detailed procedure to find GCD of 264, 673, 75, 116?
You can find a detailed procedure to find GCD of 264, 673, 75, 116 on our page.
3. How to find GCD of 264, 673, 75, 116 on a calculator?
You can find the GCD of 264, 673, 75, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.