Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4801/669,9287/4912
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 4801,9287
Greatest Common Factor of Numerators i.e. GCF of 4801,9287 is 1 .
LCM of Denominators means LCM of 669,4912 as per the given fractions.
LCM of 669,4912 is 3286128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4801,9287
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4801
List of positive integer factors of 4801 that divides 4801 without a remainder.
1,4801
Factors of 9287
List of positive integer factors of 9287 that divides 9287 without a remainder.
1,37,251,9287
Greatest Common Factor
We found the factors 4801,9287 . The biggest common factor number is the GCF number.
So the greatest common factor 4801,9287 is 1.
Lets's calculate LCM of 669,4912
Given numbers has no common factors except 1. So, there LCM is their product i.e 3286128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3286128
Therefore, the GCF of Fractions 4801/669,9287/4912 is 1/3286128
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 669,4912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,4912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,4912) x common factors =1 x 1 = 1
LCM(669,4912) = ( 669 × 4912 ) / 1
LCM(669,4912) = 3286128 / 1
LCM(669,4912) = 3286128
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 4801/669, 9287/4912?
Answer: GCF of Numerators as per given numbers 4801/669, 9287/4912 is
GCF of Numerators i.e. for 4801,9287 is 1
LCM of denominators i.e. for 669,4912 is 3286128.
Thus, GCF of Fractions is 1/3286128.Finally, GCF of Fractions for 4801/669, 9287/4912 is 1/3286128.