Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4332/380,5369/287
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 4332,5369
Greatest Common Factor of Numerators i.e. GCF of 4332,5369 is 1 .
LCM of Denominators means LCM of 380,287 as per the given fractions.
LCM of 380,287 is 109060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4332,5369
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4332
List of positive integer factors of 4332 that divides 4332 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332
Factors of 5369
List of positive integer factors of 5369 that divides 5369 without a remainder.
1,7,13,59,91,413,767,5369
Greatest Common Factor
We found the factors 4332,5369 . The biggest common factor number is the GCF number.
So the greatest common factor 4332,5369 is 1.
Lets's calculate LCM of 380,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 109060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109060
Therefore, the GCF of Fractions 4332/380,5369/287 is 1/109060
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 380,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(380,287) x common factors =1 x 1 = 1
LCM(380,287) = ( 380 × 287 ) / 1
LCM(380,287) = 109060 / 1
LCM(380,287) = 109060
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 4332/380, 5369/287?
Answer: GCF of Numerators as per given numbers 4332/380, 5369/287 is
GCF of Numerators i.e. for 4332,5369 is 1
LCM of denominators i.e. for 380,287 is 109060.
Thus, GCF of Fractions is 1/109060.Finally, GCF of Fractions for 4332/380, 5369/287 is 1/109060.