Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8094/85,4610/801
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 8094,4610
Greatest Common Factor of Numerators i.e. GCF of 8094,4610 is 2 .
LCM of Denominators means LCM of 85,801 as per the given fractions.
LCM of 85,801 is 68085 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8094,4610
2 | 8094, 4610 |
4047, 2305 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8094
List of positive integer factors of 8094 that divides 8094 without a remainder.
1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094
Factors of 4610
List of positive integer factors of 4610 that divides 4610 without a remainder.
1,2,5,10,461,922,2305,4610
Greatest Common Factor
We found the factors 8094,4610 . The biggest common factor number is the GCF number.
So the greatest common factor 8094,4610 is 2.
Lets's calculate LCM of 85,801
Given numbers has no common factors except 1. So, there LCM is their product i.e 68085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68085
Therefore, the GCF of Fractions 8094/85,4610/801 is 2/68085
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 85,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,801) x common factors =1 x 1 = 1
LCM(85,801) = ( 85 × 801 ) / 1
LCM(85,801) = 68085 / 1
LCM(85,801) = 68085
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 8094/85, 4610/801?
Answer: GCF of Numerators as per given numbers 8094/85, 4610/801 is
GCF of Numerators i.e. for 8094,4610 is 2
LCM of denominators i.e. for 85,801 is 68085.
Thus, GCF of Fractions is 2/68085.Finally, GCF of Fractions for 8094/85, 4610/801 is 2/68085.