Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9533/247,2915/3953
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 9533,2915
Greatest Common Factor of Numerators i.e. GCF of 9533,2915 is 1 .
LCM of Denominators means LCM of 247,3953 as per the given fractions.
LCM of 247,3953 is 976391 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9533,2915
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9533
List of positive integer factors of 9533 that divides 9533 without a remainder.
1,9533
Factors of 2915
List of positive integer factors of 2915 that divides 2915 without a remainder.
1,5,11,53,55,265,583,2915
Greatest Common Factor
We found the factors 9533,2915 . The biggest common factor number is the GCF number.
So the greatest common factor 9533,2915 is 1.
Lets's calculate LCM of 247,3953
Given numbers has no common factors except 1. So, there LCM is their product i.e 976391
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/976391
Therefore, the GCF of Fractions 9533/247,2915/3953 is 1/976391
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 247,3953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,3953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,3953) x common factors =1 x 1 = 1
LCM(247,3953) = ( 247 × 3953 ) / 1
LCM(247,3953) = 976391 / 1
LCM(247,3953) = 976391
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 9533/247, 2915/3953?
Answer: GCF of Numerators as per given numbers 9533/247, 2915/3953 is
GCF of Numerators i.e. for 9533,2915 is 1
LCM of denominators i.e. for 247,3953 is 976391.
Thus, GCF of Fractions is 1/976391.Finally, GCF of Fractions for 9533/247, 2915/3953 is 1/976391.