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 245, 361, 944, 480 i.e. 1 largest integer that divides all the numbers equally.
GCD of 245, 361, 944, 480 is 1
GCD(245, 361, 944, 480) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 245, 361, 944, 480 is 1
GCD(245, 361, 944, 480) = 1
Given Input numbers are 245, 361, 944, 480
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Greatest Common Divisior
We found the divisors of 245, 361, 944, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 361, 944, 480 is 1.
Therefore, GCD of numbers 245, 361, 944, 480 is 1
Given Input Data is 245, 361, 944, 480
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 361 is 19 x 19
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
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(245, 361) = 88445
GCD(245, 361) = ( 245 x 361 ) / 88445
GCD(245, 361) = 88445 / 88445
GCD(245, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 944) = 944
GCD(1, 944) = ( 1 x 944 ) / 944
GCD(1, 944) = 944 / 944
GCD(1, 944) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
GCD(1, 480) = 480 / 480
GCD(1, 480) = 1
GCD of 245, 361, 944, 480 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 245, 361, 944, 480?
GCD of 245, 361, 944, 480 is 1
2. Where do I get the detailed procedure to find GCD of 245, 361, 944, 480?
You can find a detailed procedure to find GCD of 245, 361, 944, 480 on our page.
3. How to find GCD of 245, 361, 944, 480 on a calculator?
You can find the GCD of 245, 361, 944, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.