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 125, 444, 299, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 125, 444, 299, 196 is 1
GCD(125, 444, 299, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 125, 444, 299, 196 is 1
GCD(125, 444, 299, 196) = 1
Given Input numbers are 125, 444, 299, 196
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Greatest Common Divisior
We found the divisors of 125, 444, 299, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 444, 299, 196 is 1.
Therefore, GCD of numbers 125, 444, 299, 196 is 1
Given Input Data is 125, 444, 299, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 299 is 13 x 23
Prime Factorization of 196 is 2 x 2 x 7 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(125, 444) = 55500
GCD(125, 444) = ( 125 x 444 ) / 55500
GCD(125, 444) = 55500 / 55500
GCD(125, 444) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
GCD of 125, 444, 299, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 125, 444, 299, 196?
GCD of 125, 444, 299, 196 is 1
2. Where do I get the detailed procedure to find GCD of 125, 444, 299, 196?
You can find a detailed procedure to find GCD of 125, 444, 299, 196 on our page.
3. How to find GCD of 125, 444, 299, 196 on a calculator?
You can find the GCD of 125, 444, 299, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.