Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7663/50,5281/989
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 7663,5281
Greatest Common Factor of Numerators i.e. GCF of 7663,5281 is 1 .
LCM of Denominators means LCM of 50,989 as per the given fractions.
LCM of 50,989 is 49450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7663,5281
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7663
List of positive integer factors of 7663 that divides 7663 without a remainder.
1,79,97,7663
Factors of 5281
List of positive integer factors of 5281 that divides 5281 without a remainder.
1,5281
Greatest Common Factor
We found the factors 7663,5281 . The biggest common factor number is the GCF number.
So the greatest common factor 7663,5281 is 1.
Lets's calculate LCM of 50,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 49450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49450
Therefore, the GCF of Fractions 7663/50,5281/989 is 1/49450
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 50,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,989) x common factors =1 x 1 = 1
LCM(50,989) = ( 50 × 989 ) / 1
LCM(50,989) = 49450 / 1
LCM(50,989) = 49450
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 7663/50, 5281/989?
Answer: GCF of Numerators as per given numbers 7663/50, 5281/989 is
GCF of Numerators i.e. for 7663,5281 is 1
LCM of denominators i.e. for 50,989 is 49450.
Thus, GCF of Fractions is 1/49450.Finally, GCF of Fractions for 7663/50, 5281/989 is 1/49450.