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 483, 245, 78, 208 i.e. 1 largest integer that divides all the numbers equally.
GCD of 483, 245, 78, 208 is 1
GCD(483, 245, 78, 208) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 483, 245, 78, 208 is 1
GCD(483, 245, 78, 208) = 1
Given Input numbers are 483, 245, 78, 208
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Greatest Common Divisior
We found the divisors of 483, 245, 78, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 245, 78, 208 is 1.
Therefore, GCD of numbers 483, 245, 78, 208 is 1
Given Input Data is 483, 245, 78, 208
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
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(483, 245) = 16905
GCD(483, 245) = ( 483 x 245 ) / 16905
GCD(483, 245) = 118335 / 16905
GCD(483, 245) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 78) = 546
GCD(7, 78) = ( 7 x 78 ) / 546
GCD(7, 78) = 546 / 546
GCD(7, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
GCD(1, 208) = 208 / 208
GCD(1, 208) = 1
GCD of 483, 245, 78, 208 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 483, 245, 78, 208?
GCD of 483, 245, 78, 208 is 1
2. Where do I get the detailed procedure to find GCD of 483, 245, 78, 208?
You can find a detailed procedure to find GCD of 483, 245, 78, 208 on our page.
3. How to find GCD of 483, 245, 78, 208 on a calculator?
You can find the GCD of 483, 245, 78, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.