Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9629/752,6838/1617
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 9629,6838
Greatest Common Factor of Numerators i.e. GCF of 9629,6838 is 1 .
LCM of Denominators means LCM of 752,1617 as per the given fractions.
LCM of 752,1617 is 1215984 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9629,6838
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9629
List of positive integer factors of 9629 that divides 9629 without a remainder.
1,9629
Factors of 6838
List of positive integer factors of 6838 that divides 6838 without a remainder.
1,2,13,26,263,526,3419,6838
Greatest Common Factor
We found the factors 9629,6838 . The biggest common factor number is the GCF number.
So the greatest common factor 9629,6838 is 1.
Lets's calculate LCM of 752,1617
Given numbers has no common factors except 1. So, there LCM is their product i.e 1215984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1215984
Therefore, the GCF of Fractions 9629/752,6838/1617 is 1/1215984
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 752,1617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,1617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(752,1617) x common factors =1 x 1 = 1
LCM(752,1617) = ( 752 × 1617 ) / 1
LCM(752,1617) = 1215984 / 1
LCM(752,1617) = 1215984
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 9629/752, 6838/1617?
Answer: GCF of Numerators as per given numbers 9629/752, 6838/1617 is
GCF of Numerators i.e. for 9629,6838 is 1
LCM of denominators i.e. for 752,1617 is 1215984.
Thus, GCF of Fractions is 1/1215984.Finally, GCF of Fractions for 9629/752, 6838/1617 is 1/1215984.