Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8897/373,8391/4462
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 8897,8391
Greatest Common Factor of Numerators i.e. GCF of 8897,8391 is 1 .
LCM of Denominators means LCM of 373,4462 as per the given fractions.
LCM of 373,4462 is 1664326 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8897,8391
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8897
List of positive integer factors of 8897 that divides 8897 without a remainder.
1,7,31,41,217,287,1271,8897
Factors of 8391
List of positive integer factors of 8391 that divides 8391 without a remainder.
1,3,2797,8391
Greatest Common Factor
We found the factors 8897,8391 . The biggest common factor number is the GCF number.
So the greatest common factor 8897,8391 is 1.
Lets's calculate LCM of 373,4462
Given numbers has no common factors except 1. So, there LCM is their product i.e 1664326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1664326
Therefore, the GCF of Fractions 8897/373,8391/4462 is 1/1664326
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 373,4462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,4462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,4462) x common factors =1 x 1 = 1
LCM(373,4462) = ( 373 × 4462 ) / 1
LCM(373,4462) = 1664326 / 1
LCM(373,4462) = 1664326
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 8897/373, 8391/4462?
Answer: GCF of Numerators as per given numbers 8897/373, 8391/4462 is
GCF of Numerators i.e. for 8897,8391 is 1
LCM of denominators i.e. for 373,4462 is 1664326.
Thus, GCF of Fractions is 1/1664326.Finally, GCF of Fractions for 8897/373, 8391/4462 is 1/1664326.