Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6298/99,3298/363
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 6298,3298
Greatest Common Factor of Numerators i.e. GCF of 6298,3298 is 2 .
LCM of Denominators means LCM of 99,363 as per the given fractions.
LCM of 99,363 is 1089 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6298,3298
2 | 6298, 3298 |
3149, 1649 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6298
List of positive integer factors of 6298 that divides 6298 without a remainder.
1,2,47,67,94,134,3149,6298
Factors of 3298
List of positive integer factors of 3298 that divides 3298 without a remainder.
1,2,17,34,97,194,1649,3298
Greatest Common Factor
We found the factors 6298,3298 . The biggest common factor number is the GCF number.
So the greatest common factor 6298,3298 is 2.
Lets's calculate LCM of 99,363
3 | 99, 363 |
11 | 33, 121 |
3, 11 |
∴ So the LCM of the given numbers is 3 x 11 x 3 x 11 = 1089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1089
Therefore, the GCF of Fractions 6298/99,3298/363 is 2/1089
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 99,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,363) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(99,363) x common factors =33 x 1 = 33
LCM(99,363) = ( 99 × 363 ) / 33
LCM(99,363) = 35937 / 33
LCM(99,363) = 1089
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 6298/99, 3298/363?
Answer: GCF of Numerators as per given numbers 6298/99, 3298/363 is
GCF of Numerators i.e. for 6298,3298 is 2
LCM of denominators i.e. for 99,363 is 1089.
Thus, GCF of Fractions is 2/1089.Finally, GCF of Fractions for 6298/99, 3298/363 is 2/1089.