Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9281/729,4937/3870
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 9281,4937
Greatest Common Factor of Numerators i.e. GCF of 9281,4937 is 1 .
LCM of Denominators means LCM of 729,3870 as per the given fractions.
LCM of 729,3870 is 313470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9281,4937
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9281
List of positive integer factors of 9281 that divides 9281 without a remainder.
1,9281
Factors of 4937
List of positive integer factors of 4937 that divides 4937 without a remainder.
1,4937
Greatest Common Factor
We found the factors 9281,4937 . The biggest common factor number is the GCF number.
So the greatest common factor 9281,4937 is 1.
Lets's calculate LCM of 729,3870
3 | 729, 3870 |
3 | 243, 1290 |
81, 430 |
∴ So the LCM of the given numbers is 3 x 3 x 81 x 430 = 313470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313470
Therefore, the GCF of Fractions 9281/729,4937/3870 is 1/313470
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 729,3870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,3870) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(729,3870) x common factors =9 x 1 = 9
LCM(729,3870) = ( 729 × 3870 ) / 9
LCM(729,3870) = 2821230 / 9
LCM(729,3870) = 313470
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 9281/729, 4937/3870?
Answer: GCF of Numerators as per given numbers 9281/729, 4937/3870 is
GCF of Numerators i.e. for 9281,4937 is 1
LCM of denominators i.e. for 729,3870 is 313470.
Thus, GCF of Fractions is 1/313470.Finally, GCF of Fractions for 9281/729, 4937/3870 is 1/313470.