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, 948, 49, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 299, 948, 49, 144 is 1
GCD(299, 948, 49, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 299, 948, 49, 144 is 1
GCD(299, 948, 49, 144) = 1
Given Input numbers are 299, 948, 49, 144
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 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 299, 948, 49, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 948, 49, 144 is 1.
Therefore, GCD of numbers 299, 948, 49, 144 is 1
Given Input Data is 299, 948, 49, 144
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 299 is 13 x 23
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 49 is 7 x 7
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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, 948) = 283452
GCD(299, 948) = ( 299 x 948 ) / 283452
GCD(299, 948) = 283452 / 283452
GCD(299, 948) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 299, 948, 49, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 299, 948, 49, 144?
GCD of 299, 948, 49, 144 is 1
2. Where do I get the detailed procedure to find GCD of 299, 948, 49, 144?
You can find a detailed procedure to find GCD of 299, 948, 49, 144 on our page.
3. How to find GCD of 299, 948, 49, 144 on a calculator?
You can find the GCD of 299, 948, 49, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.