Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 319/73,286/5025
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 319,286
Greatest Common Factor of Numerators i.e. GCF of 319,286 is 11 .
LCM of Denominators means LCM of 73,5025 as per the given fractions.
LCM of 73,5025 is 366825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 319,286
11 | 319, 286 |
29, 26 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 319,286 . The biggest common factor number is the GCF number.
So the greatest common factor 319,286 is 11.
Lets's calculate LCM of 73,5025
Given numbers has no common factors except 1. So, there LCM is their product i.e 366825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/366825
Therefore, the GCF of Fractions 319/73,286/5025 is 11/366825
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 73,5025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,5025) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,5025) x common factors =1 x 1 = 1
LCM(73,5025) = ( 73 × 5025 ) / 1
LCM(73,5025) = 366825 / 1
LCM(73,5025) = 366825
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 319/73, 286/5025?
Answer: GCF of Numerators as per given numbers 319/73, 286/5025 is
GCF of Numerators i.e. for 319,286 is 11
LCM of denominators i.e. for 73,5025 is 366825.
Thus, GCF of Fractions is 11/366825.Finally, GCF of Fractions for 319/73, 286/5025 is 11/366825.