Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6271/240,9171/3837
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 6271,9171
Greatest Common Factor of Numerators i.e. GCF of 6271,9171 is 1 .
LCM of Denominators means LCM of 240,3837 as per the given fractions.
LCM of 240,3837 is 306960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6271,9171
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6271
List of positive integer factors of 6271 that divides 6271 without a remainder.
1,6271
Factors of 9171
List of positive integer factors of 9171 that divides 9171 without a remainder.
1,3,9,1019,3057,9171
Greatest Common Factor
We found the factors 6271,9171 . The biggest common factor number is the GCF number.
So the greatest common factor 6271,9171 is 1.
Lets's calculate LCM of 240,3837
3 | 240, 3837 |
80, 1279 |
∴ So the LCM of the given numbers is 3 x 80 x 1279 = 306960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306960
Therefore, the GCF of Fractions 6271/240,9171/3837 is 1/306960
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 240,3837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,3837) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(240,3837) x common factors =3 x 1 = 3
LCM(240,3837) = ( 240 × 3837 ) / 3
LCM(240,3837) = 920880 / 3
LCM(240,3837) = 306960
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 6271/240, 9171/3837?
Answer: GCF of Numerators as per given numbers 6271/240, 9171/3837 is
GCF of Numerators i.e. for 6271,9171 is 1
LCM of denominators i.e. for 240,3837 is 306960.
Thus, GCF of Fractions is 1/306960.Finally, GCF of Fractions for 6271/240, 9171/3837 is 1/306960.