Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8498/434,2297/7886
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 8498,2297
Greatest Common Factor of Numerators i.e. GCF of 8498,2297 is 1 .
LCM of Denominators means LCM of 434,7886 as per the given fractions.
LCM of 434,7886 is 1711262 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8498,2297
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8498
List of positive integer factors of 8498 that divides 8498 without a remainder.
1,2,7,14,607,1214,4249,8498
Factors of 2297
List of positive integer factors of 2297 that divides 2297 without a remainder.
1,2297
Greatest Common Factor
We found the factors 8498,2297 . The biggest common factor number is the GCF number.
So the greatest common factor 8498,2297 is 1.
Lets's calculate LCM of 434,7886
2 | 434, 7886 |
217, 3943 |
∴ So the LCM of the given numbers is 2 x 217 x 3943 = 1711262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1711262
Therefore, the GCF of Fractions 8498/434,2297/7886 is 1/1711262
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 434,7886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,7886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,7886) x common factors =2 x 1 = 2
LCM(434,7886) = ( 434 × 7886 ) / 2
LCM(434,7886) = 3422524 / 2
LCM(434,7886) = 1711262
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 8498/434, 2297/7886?
Answer: GCF of Numerators as per given numbers 8498/434, 2297/7886 is
GCF of Numerators i.e. for 8498,2297 is 1
LCM of denominators i.e. for 434,7886 is 1711262.
Thus, GCF of Fractions is 1/1711262.Finally, GCF of Fractions for 8498/434, 2297/7886 is 1/1711262.