Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8916/746,3379/246
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 8916,3379
Greatest Common Factor of Numerators i.e. GCF of 8916,3379 is 1 .
LCM of Denominators means LCM of 746,246 as per the given fractions.
LCM of 746,246 is 91758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8916,3379
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8916
List of positive integer factors of 8916 that divides 8916 without a remainder.
1,2,3,4,6,12,743,1486,2229,2972,4458,8916
Factors of 3379
List of positive integer factors of 3379 that divides 3379 without a remainder.
1,31,109,3379
Greatest Common Factor
We found the factors 8916,3379 . The biggest common factor number is the GCF number.
So the greatest common factor 8916,3379 is 1.
Lets's calculate LCM of 746,246
2 | 746, 246 |
373, 123 |
∴ So the LCM of the given numbers is 2 x 373 x 123 = 91758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91758
Therefore, the GCF of Fractions 8916/746,3379/246 is 1/91758
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 746,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,246) x common factors =2 x 1 = 2
LCM(746,246) = ( 746 × 246 ) / 2
LCM(746,246) = 183516 / 2
LCM(746,246) = 91758
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 8916/746, 3379/246?
Answer: GCF of Numerators as per given numbers 8916/746, 3379/246 is
GCF of Numerators i.e. for 8916,3379 is 1
LCM of denominators i.e. for 746,246 is 91758.
Thus, GCF of Fractions is 1/91758.Finally, GCF of Fractions for 8916/746, 3379/246 is 1/91758.