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 482, 430, 272, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 482, 430, 272, 945 is 1
GCD(482, 430, 272, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 482, 430, 272, 945 is 1
GCD(482, 430, 272, 945) = 1
Given Input numbers are 482, 430, 272, 945
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 482, 430, 272, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 430, 272, 945 is 1.
Therefore, GCD of numbers 482, 430, 272, 945 is 1
Given Input Data is 482, 430, 272, 945
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 482 is 2 x 241
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 945 is 3 x 3 x 3 x 5 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(482, 430) = 103630
GCD(482, 430) = ( 482 x 430 ) / 103630
GCD(482, 430) = 207260 / 103630
GCD(482, 430) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
GCD(2, 272) = 544 / 272
GCD(2, 272) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 945) = 1890
GCD(2, 945) = ( 2 x 945 ) / 1890
GCD(2, 945) = 1890 / 1890
GCD(2, 945) = 1
GCD of 482, 430, 272, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 482, 430, 272, 945?
GCD of 482, 430, 272, 945 is 1
2. Where do I get the detailed procedure to find GCD of 482, 430, 272, 945?
You can find a detailed procedure to find GCD of 482, 430, 272, 945 on our page.
3. How to find GCD of 482, 430, 272, 945 on a calculator?
You can find the GCD of 482, 430, 272, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.