Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6397/89,2397/479
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 6397,2397
Greatest Common Factor of Numerators i.e. GCF of 6397,2397 is 1 .
LCM of Denominators means LCM of 89,479 as per the given fractions.
LCM of 89,479 is 42631 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6397,2397
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6397
List of positive integer factors of 6397 that divides 6397 without a remainder.
1,6397
Factors of 2397
List of positive integer factors of 2397 that divides 2397 without a remainder.
1,3,17,47,51,141,799,2397
Greatest Common Factor
We found the factors 6397,2397 . The biggest common factor number is the GCF number.
So the greatest common factor 6397,2397 is 1.
Lets's calculate LCM of 89,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 42631
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42631
Therefore, the GCF of Fractions 6397/89,2397/479 is 1/42631
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 89,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,479) x common factors =1 x 1 = 1
LCM(89,479) = ( 89 × 479 ) / 1
LCM(89,479) = 42631 / 1
LCM(89,479) = 42631
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 6397/89, 2397/479?
Answer: GCF of Numerators as per given numbers 6397/89, 2397/479 is
GCF of Numerators i.e. for 6397,2397 is 1
LCM of denominators i.e. for 89,479 is 42631.
Thus, GCF of Fractions is 1/42631.Finally, GCF of Fractions for 6397/89, 2397/479 is 1/42631.