Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6884/58,2461/616
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 6884,2461
Greatest Common Factor of Numerators i.e. GCF of 6884,2461 is 1 .
LCM of Denominators means LCM of 58,616 as per the given fractions.
LCM of 58,616 is 17864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6884,2461
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6884
List of positive integer factors of 6884 that divides 6884 without a remainder.
1,2,4,1721,3442,6884
Factors of 2461
List of positive integer factors of 2461 that divides 2461 without a remainder.
1,23,107,2461
Greatest Common Factor
We found the factors 6884,2461 . The biggest common factor number is the GCF number.
So the greatest common factor 6884,2461 is 1.
Lets's calculate LCM of 58,616
2 | 58, 616 |
29, 308 |
∴ So the LCM of the given numbers is 2 x 29 x 308 = 17864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17864
Therefore, the GCF of Fractions 6884/58,2461/616 is 1/17864
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 58,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,616) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,616) x common factors =2 x 1 = 2
LCM(58,616) = ( 58 × 616 ) / 2
LCM(58,616) = 35728 / 2
LCM(58,616) = 17864
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 6884/58, 2461/616?
Answer: GCF of Numerators as per given numbers 6884/58, 2461/616 is
GCF of Numerators i.e. for 6884,2461 is 1
LCM of denominators i.e. for 58,616 is 17864.
Thus, GCF of Fractions is 1/17864.Finally, GCF of Fractions for 6884/58, 2461/616 is 1/17864.