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 667, 109, 75, 441 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 109, 75, 441 is 1
GCD(667, 109, 75, 441) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 109, 75, 441 is 1
GCD(667, 109, 75, 441) = 1
Given Input numbers are 667, 109, 75, 441
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Greatest Common Divisior
We found the divisors of 667, 109, 75, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 109, 75, 441 is 1.
Therefore, GCD of numbers 667, 109, 75, 441 is 1
Given Input Data is 667, 109, 75, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 109 is 109
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 441 is 3 x 3 x 7 x 7
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(667, 109) = 72703
GCD(667, 109) = ( 667 x 109 ) / 72703
GCD(667, 109) = 72703 / 72703
GCD(667, 109) = 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 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
GCD of 667, 109, 75, 441 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 109, 75, 441?
GCD of 667, 109, 75, 441 is 1
2. Where do I get the detailed procedure to find GCD of 667, 109, 75, 441?
You can find a detailed procedure to find GCD of 667, 109, 75, 441 on our page.
3. How to find GCD of 667, 109, 75, 441 on a calculator?
You can find the GCD of 667, 109, 75, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.