Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 846/922,1333/963
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 846,1333
Greatest Common Factor of Numerators i.e. GCF of 846,1333 is 1 .
LCM of Denominators means LCM of 922,963 as per the given fractions.
LCM of 922,963 is 887886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 846,1333
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Factors of 1333
List of positive integer factors of 1333 that divides 1333 without a remainder.
1,31,43,1333
Greatest Common Factor
We found the factors 846,1333 . The biggest common factor number is the GCF number.
So the greatest common factor 846,1333 is 1.
Lets's calculate LCM of 922,963
Given numbers has no common factors except 1. So, there LCM is their product i.e 887886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/887886
Therefore, the GCF of Fractions 846/922,1333/963 is 1/887886
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 922,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(922,963) x common factors =1 x 1 = 1
LCM(922,963) = ( 922 × 963 ) / 1
LCM(922,963) = 887886 / 1
LCM(922,963) = 887886
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 846/922, 1333/963?
Answer: GCF of Numerators as per given numbers 846/922, 1333/963 is
GCF of Numerators i.e. for 846,1333 is 1
LCM of denominators i.e. for 922,963 is 887886.
Thus, GCF of Fractions is 1/887886.Finally, GCF of Fractions for 846/922, 1333/963 is 1/887886.