Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1966/867,4714/8797
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 1966,4714
Greatest Common Factor of Numerators i.e. GCF of 1966,4714 is 2 .
LCM of Denominators means LCM of 867,8797 as per the given fractions.
LCM of 867,8797 is 7626999 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1966,4714
2 | 1966, 4714 |
983, 2357 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1966
List of positive integer factors of 1966 that divides 1966 without a remainder.
1,2,983,1966
Factors of 4714
List of positive integer factors of 4714 that divides 4714 without a remainder.
1,2,2357,4714
Greatest Common Factor
We found the factors 1966,4714 . The biggest common factor number is the GCF number.
So the greatest common factor 1966,4714 is 2.
Lets's calculate LCM of 867,8797
Given numbers has no common factors except 1. So, there LCM is their product i.e 7626999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7626999
Therefore, the GCF of Fractions 1966/867,4714/8797 is 2/7626999
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 867,8797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,8797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,8797) x common factors =1 x 1 = 1
LCM(867,8797) = ( 867 × 8797 ) / 1
LCM(867,8797) = 7626999 / 1
LCM(867,8797) = 7626999
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 1966/867, 4714/8797?
Answer: GCF of Numerators as per given numbers 1966/867, 4714/8797 is
GCF of Numerators i.e. for 1966,4714 is 2
LCM of denominators i.e. for 867,8797 is 7626999.
Thus, GCF of Fractions is 2/7626999.Finally, GCF of Fractions for 1966/867, 4714/8797 is 2/7626999.