Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 329/37,755/6874
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 329,755
Greatest Common Factor of Numerators i.e. GCF of 329,755 is 1 .
LCM of Denominators means LCM of 37,6874 as per the given fractions.
LCM of 37,6874 is 254338 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 329,755
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Greatest Common Factor
We found the factors 329,755 . The biggest common factor number is the GCF number.
So the greatest common factor 329,755 is 1.
Lets's calculate LCM of 37,6874
Given numbers has no common factors except 1. So, there LCM is their product i.e 254338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254338
Therefore, the GCF of Fractions 329/37,755/6874 is 1/254338
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 37,6874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,6874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,6874) x common factors =1 x 1 = 1
LCM(37,6874) = ( 37 × 6874 ) / 1
LCM(37,6874) = 254338 / 1
LCM(37,6874) = 254338
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 329/37, 755/6874?
Answer: GCF of Numerators as per given numbers 329/37, 755/6874 is
GCF of Numerators i.e. for 329,755 is 1
LCM of denominators i.e. for 37,6874 is 254338.
Thus, GCF of Fractions is 1/254338.Finally, GCF of Fractions for 329/37, 755/6874 is 1/254338.