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, 240, 34, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 125, 240, 34, 299 is 1
GCD(125, 240, 34, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 125, 240, 34, 299 is 1
GCD(125, 240, 34, 299) = 1
Given Input numbers are 125, 240, 34, 299
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 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 125, 240, 34, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 240, 34, 299 is 1.
Therefore, GCD of numbers 125, 240, 34, 299 is 1
Given Input Data is 125, 240, 34, 299
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 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 34 is 2 x 17
Prime Factorization of 299 is 13 x 23
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, 240) = 6000
GCD(125, 240) = ( 125 x 240 ) / 6000
GCD(125, 240) = 30000 / 6000
GCD(125, 240) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 34) = 170
GCD(5, 34) = ( 5 x 34 ) / 170
GCD(5, 34) = 170 / 170
GCD(5, 34) = 1
Step3:
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
GCD of 125, 240, 34, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 125, 240, 34, 299?
GCD of 125, 240, 34, 299 is 1
2. Where do I get the detailed procedure to find GCD of 125, 240, 34, 299?
You can find a detailed procedure to find GCD of 125, 240, 34, 299 on our page.
3. How to find GCD of 125, 240, 34, 299 on a calculator?
You can find the GCD of 125, 240, 34, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.