Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 797/368,5017/5196
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 797,5017
Greatest Common Factor of Numerators i.e. GCF of 797,5017 is 1 .
LCM of Denominators means LCM of 368,5196 as per the given fractions.
LCM of 368,5196 is 478032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 797,5017
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Factors of 5017
List of positive integer factors of 5017 that divides 5017 without a remainder.
1,29,173,5017
Greatest Common Factor
We found the factors 797,5017 . The biggest common factor number is the GCF number.
So the greatest common factor 797,5017 is 1.
Lets's calculate LCM of 368,5196
2 | 368, 5196 |
2 | 184, 2598 |
92, 1299 |
∴ So the LCM of the given numbers is 2 x 2 x 92 x 1299 = 478032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478032
Therefore, the GCF of Fractions 797/368,5017/5196 is 1/478032
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 368,5196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,5196) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(368,5196) x common factors =4 x 1 = 4
LCM(368,5196) = ( 368 × 5196 ) / 4
LCM(368,5196) = 1912128 / 4
LCM(368,5196) = 478032
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 797/368, 5017/5196?
Answer: GCF of Numerators as per given numbers 797/368, 5017/5196 is
GCF of Numerators i.e. for 797,5017 is 1
LCM of denominators i.e. for 368,5196 is 478032.
Thus, GCF of Fractions is 1/478032.Finally, GCF of Fractions for 797/368, 5017/5196 is 1/478032.