Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6280/471,8886/939
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 6280,8886
Greatest Common Factor of Numerators i.e. GCF of 6280,8886 is 2 .
LCM of Denominators means LCM of 471,939 as per the given fractions.
LCM of 471,939 is 147423 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6280,8886
2 | 6280, 8886 |
3140, 4443 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6280
List of positive integer factors of 6280 that divides 6280 without a remainder.
1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280
Factors of 8886
List of positive integer factors of 8886 that divides 8886 without a remainder.
1,2,3,6,1481,2962,4443,8886
Greatest Common Factor
We found the factors 6280,8886 . The biggest common factor number is the GCF number.
So the greatest common factor 6280,8886 is 2.
Lets's calculate LCM of 471,939
3 | 471, 939 |
157, 313 |
∴ So the LCM of the given numbers is 3 x 157 x 313 = 147423
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/147423
Therefore, the GCF of Fractions 6280/471,8886/939 is 2/147423
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 471,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,939) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(471,939) x common factors =3 x 1 = 3
LCM(471,939) = ( 471 × 939 ) / 3
LCM(471,939) = 442269 / 3
LCM(471,939) = 147423
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 6280/471, 8886/939?
Answer: GCF of Numerators as per given numbers 6280/471, 8886/939 is
GCF of Numerators i.e. for 6280,8886 is 2
LCM of denominators i.e. for 471,939 is 147423.
Thus, GCF of Fractions is 2/147423.Finally, GCF of Fractions for 6280/471, 8886/939 is 2/147423.