Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1313/404,4597/848
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 1313,4597
Greatest Common Factor of Numerators i.e. GCF of 1313,4597 is 1 .
LCM of Denominators means LCM of 404,848 as per the given fractions.
LCM of 404,848 is 85648 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1313,4597
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1313
List of positive integer factors of 1313 that divides 1313 without a remainder.
1,13,101,1313
Factors of 4597
List of positive integer factors of 4597 that divides 4597 without a remainder.
1,4597
Greatest Common Factor
We found the factors 1313,4597 . The biggest common factor number is the GCF number.
So the greatest common factor 1313,4597 is 1.
Lets's calculate LCM of 404,848
2 | 404, 848 |
2 | 202, 424 |
101, 212 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 212 = 85648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85648
Therefore, the GCF of Fractions 1313/404,4597/848 is 1/85648
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 404,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,848) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(404,848) x common factors =4 x 1 = 4
LCM(404,848) = ( 404 × 848 ) / 4
LCM(404,848) = 342592 / 4
LCM(404,848) = 85648
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 1313/404, 4597/848?
Answer: GCF of Numerators as per given numbers 1313/404, 4597/848 is
GCF of Numerators i.e. for 1313,4597 is 1
LCM of denominators i.e. for 404,848 is 85648.
Thus, GCF of Fractions is 1/85648.Finally, GCF of Fractions for 1313/404, 4597/848 is 1/85648.