Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9447/236,7048/4863
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 9447,7048
Greatest Common Factor of Numerators i.e. GCF of 9447,7048 is 1 .
LCM of Denominators means LCM of 236,4863 as per the given fractions.
LCM of 236,4863 is 1147668 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9447,7048
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9447
List of positive integer factors of 9447 that divides 9447 without a remainder.
1,3,47,67,141,201,3149,9447
Factors of 7048
List of positive integer factors of 7048 that divides 7048 without a remainder.
1,2,4,8,881,1762,3524,7048
Greatest Common Factor
We found the factors 9447,7048 . The biggest common factor number is the GCF number.
So the greatest common factor 9447,7048 is 1.
Lets's calculate LCM of 236,4863
Given numbers has no common factors except 1. So, there LCM is their product i.e 1147668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1147668
Therefore, the GCF of Fractions 9447/236,7048/4863 is 1/1147668
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 236,4863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,4863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(236,4863) x common factors =1 x 1 = 1
LCM(236,4863) = ( 236 × 4863 ) / 1
LCM(236,4863) = 1147668 / 1
LCM(236,4863) = 1147668
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 9447/236, 7048/4863?
Answer: GCF of Numerators as per given numbers 9447/236, 7048/4863 is
GCF of Numerators i.e. for 9447,7048 is 1
LCM of denominators i.e. for 236,4863 is 1147668.
Thus, GCF of Fractions is 1/1147668.Finally, GCF of Fractions for 9447/236, 7048/4863 is 1/1147668.