Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 397/97,6397/991
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 397,6397
Greatest Common Factor of Numerators i.e. GCF of 397,6397 is 1 .
LCM of Denominators means LCM of 97,991 as per the given fractions.
LCM of 97,991 is 96127 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 397,6397
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 6397
List of positive integer factors of 6397 that divides 6397 without a remainder.
1,6397
Greatest Common Factor
We found the factors 397,6397 . The biggest common factor number is the GCF number.
So the greatest common factor 397,6397 is 1.
Lets's calculate LCM of 97,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 96127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96127
Therefore, the GCF of Fractions 397/97,6397/991 is 1/96127
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 97,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,991) x common factors =1 x 1 = 1
LCM(97,991) = ( 97 × 991 ) / 1
LCM(97,991) = 96127 / 1
LCM(97,991) = 96127
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 397/97, 6397/991?
Answer: GCF of Numerators as per given numbers 397/97, 6397/991 is
GCF of Numerators i.e. for 397,6397 is 1
LCM of denominators i.e. for 97,991 is 96127.
Thus, GCF of Fractions is 1/96127.Finally, GCF of Fractions for 397/97, 6397/991 is 1/96127.