Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 346/185,9599/935
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 346,9599
Greatest Common Factor of Numerators i.e. GCF of 346,9599 is 1 .
LCM of Denominators means LCM of 185,935 as per the given fractions.
LCM of 185,935 is 34595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 346,9599
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 9599
List of positive integer factors of 9599 that divides 9599 without a remainder.
1,29,331,9599
Greatest Common Factor
We found the factors 346,9599 . The biggest common factor number is the GCF number.
So the greatest common factor 346,9599 is 1.
Lets's calculate LCM of 185,935
5 | 185, 935 |
37, 187 |
∴ So the LCM of the given numbers is 5 x 37 x 187 = 34595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34595
Therefore, the GCF of Fractions 346/185,9599/935 is 1/34595
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 185,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,935) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(185,935) x common factors =5 x 1 = 5
LCM(185,935) = ( 185 × 935 ) / 5
LCM(185,935) = 172975 / 5
LCM(185,935) = 34595
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 346/185, 9599/935?
Answer: GCF of Numerators as per given numbers 346/185, 9599/935 is
GCF of Numerators i.e. for 346,9599 is 1
LCM of denominators i.e. for 185,935 is 34595.
Thus, GCF of Fractions is 1/34595.Finally, GCF of Fractions for 346/185, 9599/935 is 1/34595.