Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 335/85,699/5797
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 335,699
Greatest Common Factor of Numerators i.e. GCF of 335,699 is 1 .
LCM of Denominators means LCM of 85,5797 as per the given fractions.
LCM of 85,5797 is 28985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 335,699
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 335,699 . The biggest common factor number is the GCF number.
So the greatest common factor 335,699 is 1.
Lets's calculate LCM of 85,5797
17 | 85, 5797 |
5, 341 |
∴ So the LCM of the given numbers is 17 x 5 x 341 = 28985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28985
Therefore, the GCF of Fractions 335/85,699/5797 is 1/28985
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 85,5797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,5797) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(85,5797) x common factors =17 x 1 = 17
LCM(85,5797) = ( 85 × 5797 ) / 17
LCM(85,5797) = 492745 / 17
LCM(85,5797) = 28985
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 335/85, 699/5797?
Answer: GCF of Numerators as per given numbers 335/85, 699/5797 is
GCF of Numerators i.e. for 335,699 is 1
LCM of denominators i.e. for 85,5797 is 28985.
Thus, GCF of Fractions is 1/28985.Finally, GCF of Fractions for 335/85, 699/5797 is 1/28985.