Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8397/972,2902/9169
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 8397,2902
Greatest Common Factor of Numerators i.e. GCF of 8397,2902 is 1 .
LCM of Denominators means LCM of 972,9169 as per the given fractions.
LCM of 972,9169 is 8912268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8397,2902
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8397
List of positive integer factors of 8397 that divides 8397 without a remainder.
1,3,9,27,311,933,2799,8397
Factors of 2902
List of positive integer factors of 2902 that divides 2902 without a remainder.
1,2,1451,2902
Greatest Common Factor
We found the factors 8397,2902 . The biggest common factor number is the GCF number.
So the greatest common factor 8397,2902 is 1.
Lets's calculate LCM of 972,9169
Given numbers has no common factors except 1. So, there LCM is their product i.e 8912268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8912268
Therefore, the GCF of Fractions 8397/972,2902/9169 is 1/8912268
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 972,9169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,9169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,9169) x common factors =1 x 1 = 1
LCM(972,9169) = ( 972 × 9169 ) / 1
LCM(972,9169) = 8912268 / 1
LCM(972,9169) = 8912268
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 8397/972, 2902/9169?
Answer: GCF of Numerators as per given numbers 8397/972, 2902/9169 is
GCF of Numerators i.e. for 8397,2902 is 1
LCM of denominators i.e. for 972,9169 is 8912268.
Thus, GCF of Fractions is 1/8912268.Finally, GCF of Fractions for 8397/972, 2902/9169 is 1/8912268.