Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1298/487,2363/1299
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 1298,2363
Greatest Common Factor of Numerators i.e. GCF of 1298,2363 is 1 .
LCM of Denominators means LCM of 487,1299 as per the given fractions.
LCM of 487,1299 is 632613 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1298,2363
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1298
List of positive integer factors of 1298 that divides 1298 without a remainder.
1,2,11,22,59,118,649,1298
Factors of 2363
List of positive integer factors of 2363 that divides 2363 without a remainder.
1,17,139,2363
Greatest Common Factor
We found the factors 1298,2363 . The biggest common factor number is the GCF number.
So the greatest common factor 1298,2363 is 1.
Lets's calculate LCM of 487,1299
Given numbers has no common factors except 1. So, there LCM is their product i.e 632613
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/632613
Therefore, the GCF of Fractions 1298/487,2363/1299 is 1/632613
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 487,1299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,1299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,1299) x common factors =1 x 1 = 1
LCM(487,1299) = ( 487 × 1299 ) / 1
LCM(487,1299) = 632613 / 1
LCM(487,1299) = 632613
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 1298/487, 2363/1299?
Answer: GCF of Numerators as per given numbers 1298/487, 2363/1299 is
GCF of Numerators i.e. for 1298,2363 is 1
LCM of denominators i.e. for 487,1299 is 632613.
Thus, GCF of Fractions is 1/632613.Finally, GCF of Fractions for 1298/487, 2363/1299 is 1/632613.