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 209, 462, 48, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 209, 462, 48, 125 is 1
GCD(209, 462, 48, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 209, 462, 48, 125 is 1
GCD(209, 462, 48, 125) = 1
Given Input numbers are 209, 462, 48, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 209, 462, 48, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 462, 48, 125 is 1.
Therefore, GCD of numbers 209, 462, 48, 125 is 1
Given Input Data is 209, 462, 48, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 209 is 11 x 19
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 125 is 5 x 5 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(209, 462) = 8778
GCD(209, 462) = ( 209 x 462 ) / 8778
GCD(209, 462) = 96558 / 8778
GCD(209, 462) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 48) = 528
GCD(11, 48) = ( 11 x 48 ) / 528
GCD(11, 48) = 528 / 528
GCD(11, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 209, 462, 48, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 209, 462, 48, 125?
GCD of 209, 462, 48, 125 is 1
2. Where do I get the detailed procedure to find GCD of 209, 462, 48, 125?
You can find a detailed procedure to find GCD of 209, 462, 48, 125 on our page.
3. How to find GCD of 209, 462, 48, 125 on a calculator?
You can find the GCD of 209, 462, 48, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.