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 444, 743, 75, 262 i.e. 1 largest integer that divides all the numbers equally.
GCD of 444, 743, 75, 262 is 1
GCD(444, 743, 75, 262) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 743, 75, 262 is 1
GCD(444, 743, 75, 262) = 1
Given Input numbers are 444, 743, 75, 262
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Greatest Common Divisior
We found the divisors of 444, 743, 75, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 743, 75, 262 is 1.
Therefore, GCD of numbers 444, 743, 75, 262 is 1
Given Input Data is 444, 743, 75, 262
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 743 is 743
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 262 is 2 x 131
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(444, 743) = 329892
GCD(444, 743) = ( 444 x 743 ) / 329892
GCD(444, 743) = 329892 / 329892
GCD(444, 743) = 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 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
GCD(1, 262) = 262 / 262
GCD(1, 262) = 1
GCD of 444, 743, 75, 262 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 743, 75, 262?
GCD of 444, 743, 75, 262 is 1
2. Where do I get the detailed procedure to find GCD of 444, 743, 75, 262?
You can find a detailed procedure to find GCD of 444, 743, 75, 262 on our page.
3. How to find GCD of 444, 743, 75, 262 on a calculator?
You can find the GCD of 444, 743, 75, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.