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 299, 426, 10, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 299, 426, 10, 137 is 1
GCD(299, 426, 10, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 299, 426, 10, 137 is 1
GCD(299, 426, 10, 137) = 1
Given Input numbers are 299, 426, 10, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 299, 426, 10, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 426, 10, 137 is 1.
Therefore, GCD of numbers 299, 426, 10, 137 is 1
Given Input Data is 299, 426, 10, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 299 is 13 x 23
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 10 is 2 x 5
Prime Factorization of 137 is 137
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(299, 426) = 127374
GCD(299, 426) = ( 299 x 426 ) / 127374
GCD(299, 426) = 127374 / 127374
GCD(299, 426) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 299, 426, 10, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 299, 426, 10, 137?
GCD of 299, 426, 10, 137 is 1
2. Where do I get the detailed procedure to find GCD of 299, 426, 10, 137?
You can find a detailed procedure to find GCD of 299, 426, 10, 137 on our page.
3. How to find GCD of 299, 426, 10, 137 on a calculator?
You can find the GCD of 299, 426, 10, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.