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 153, 984, 444, 953 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 984, 444, 953 is 1
GCD(153, 984, 444, 953) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 984, 444, 953 is 1
GCD(153, 984, 444, 953) = 1
Given Input numbers are 153, 984, 444, 953
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
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 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Greatest Common Divisior
We found the divisors of 153, 984, 444, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 984, 444, 953 is 1.
Therefore, GCD of numbers 153, 984, 444, 953 is 1
Given Input Data is 153, 984, 444, 953
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 953 is 953
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(153, 984) = 50184
GCD(153, 984) = ( 153 x 984 ) / 50184
GCD(153, 984) = 150552 / 50184
GCD(153, 984) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 444
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 444) = 444
GCD(3, 444) = ( 3 x 444 ) / 444
GCD(3, 444) = 1332 / 444
GCD(3, 444) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 953) = 2859
GCD(3, 953) = ( 3 x 953 ) / 2859
GCD(3, 953) = 2859 / 2859
GCD(3, 953) = 1
GCD of 153, 984, 444, 953 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 984, 444, 953?
GCD of 153, 984, 444, 953 is 1
2. Where do I get the detailed procedure to find GCD of 153, 984, 444, 953?
You can find a detailed procedure to find GCD of 153, 984, 444, 953 on our page.
3. How to find GCD of 153, 984, 444, 953 on a calculator?
You can find the GCD of 153, 984, 444, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.