Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9939/964,7181/2159
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 9939,7181
Greatest Common Factor of Numerators i.e. GCF of 9939,7181 is 1 .
LCM of Denominators means LCM of 964,2159 as per the given fractions.
LCM of 964,2159 is 2081276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9939,7181
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9939
List of positive integer factors of 9939 that divides 9939 without a remainder.
1,3,3313,9939
Factors of 7181
List of positive integer factors of 7181 that divides 7181 without a remainder.
1,43,167,7181
Greatest Common Factor
We found the factors 9939,7181 . The biggest common factor number is the GCF number.
So the greatest common factor 9939,7181 is 1.
Lets's calculate LCM of 964,2159
Given numbers has no common factors except 1. So, there LCM is their product i.e 2081276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2081276
Therefore, the GCF of Fractions 9939/964,7181/2159 is 1/2081276
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 964,2159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,2159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,2159) x common factors =1 x 1 = 1
LCM(964,2159) = ( 964 × 2159 ) / 1
LCM(964,2159) = 2081276 / 1
LCM(964,2159) = 2081276
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 9939/964, 7181/2159?
Answer: GCF of Numerators as per given numbers 9939/964, 7181/2159 is
GCF of Numerators i.e. for 9939,7181 is 1
LCM of denominators i.e. for 964,2159 is 2081276.
Thus, GCF of Fractions is 1/2081276.Finally, GCF of Fractions for 9939/964, 7181/2159 is 1/2081276.