Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4879/999,9367/2448
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 4879,9367
Greatest Common Factor of Numerators i.e. GCF of 4879,9367 is 17 .
LCM of Denominators means LCM of 999,2448 as per the given fractions.
LCM of 999,2448 is 271728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4879,9367
17 | 4879, 9367 |
287, 551 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 4879
List of positive integer factors of 4879 that divides 4879 without a remainder.
1,7,17,41,119,287,697,4879
Factors of 9367
List of positive integer factors of 9367 that divides 9367 without a remainder.
1,17,19,29,323,493,551,9367
Greatest Common Factor
We found the factors 4879,9367 . The biggest common factor number is the GCF number.
So the greatest common factor 4879,9367 is 17.
Lets's calculate LCM of 999,2448
3 | 999, 2448 |
3 | 333, 816 |
111, 272 |
∴ So the LCM of the given numbers is 3 x 3 x 111 x 272 = 271728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/271728
Therefore, the GCF of Fractions 4879/999,9367/2448 is 17/271728
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 999,2448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,2448) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(999,2448) x common factors =9 x 1 = 9
LCM(999,2448) = ( 999 × 2448 ) / 9
LCM(999,2448) = 2445552 / 9
LCM(999,2448) = 271728
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 4879/999, 9367/2448?
Answer: GCF of Numerators as per given numbers 4879/999, 9367/2448 is
GCF of Numerators i.e. for 4879,9367 is 17
LCM of denominators i.e. for 999,2448 is 271728.
Thus, GCF of Fractions is 17/271728.Finally, GCF of Fractions for 4879/999, 9367/2448 is 17/271728.