Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8891/306,9926/6617
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 8891,9926
Greatest Common Factor of Numerators i.e. GCF of 8891,9926 is 1 .
LCM of Denominators means LCM of 306,6617 as per the given fractions.
LCM of 306,6617 is 2024802 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8891,9926
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8891
List of positive integer factors of 8891 that divides 8891 without a remainder.
1,17,523,8891
Factors of 9926
List of positive integer factors of 9926 that divides 9926 without a remainder.
1,2,7,14,709,1418,4963,9926
Greatest Common Factor
We found the factors 8891,9926 . The biggest common factor number is the GCF number.
So the greatest common factor 8891,9926 is 1.
Lets's calculate LCM of 306,6617
Given numbers has no common factors except 1. So, there LCM is their product i.e 2024802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2024802
Therefore, the GCF of Fractions 8891/306,9926/6617 is 1/2024802
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 306,6617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,6617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(306,6617) x common factors =1 x 1 = 1
LCM(306,6617) = ( 306 × 6617 ) / 1
LCM(306,6617) = 2024802 / 1
LCM(306,6617) = 2024802
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 8891/306, 9926/6617?
Answer: GCF of Numerators as per given numbers 8891/306, 9926/6617 is
GCF of Numerators i.e. for 8891,9926 is 1
LCM of denominators i.e. for 306,6617 is 2024802.
Thus, GCF of Fractions is 1/2024802.Finally, GCF of Fractions for 8891/306, 9926/6617 is 1/2024802.