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 464, 369, 95, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 464, 369, 95, 144 is 1
GCD(464, 369, 95, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 369, 95, 144 is 1
GCD(464, 369, 95, 144) = 1
Given Input numbers are 464, 369, 95, 144
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 464, 369, 95, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 369, 95, 144 is 1.
Therefore, GCD of numbers 464, 369, 95, 144 is 1
Given Input Data is 464, 369, 95, 144
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 95 is 5 x 19
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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(464, 369) = 171216
GCD(464, 369) = ( 464 x 369 ) / 171216
GCD(464, 369) = 171216 / 171216
GCD(464, 369) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 95) = 95
GCD(1, 95) = ( 1 x 95 ) / 95
GCD(1, 95) = 95 / 95
GCD(1, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 464, 369, 95, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 369, 95, 144?
GCD of 464, 369, 95, 144 is 1
2. Where do I get the detailed procedure to find GCD of 464, 369, 95, 144?
You can find a detailed procedure to find GCD of 464, 369, 95, 144 on our page.
3. How to find GCD of 464, 369, 95, 144 on a calculator?
You can find the GCD of 464, 369, 95, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.