Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4851/847,4103/5254
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 4851,4103
Greatest Common Factor of Numerators i.e. GCF of 4851,4103 is 11 .
LCM of Denominators means LCM of 847,5254 as per the given fractions.
LCM of 847,5254 is 4450138 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4851,4103
11 | 4851, 4103 |
441, 373 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 4851
List of positive integer factors of 4851 that divides 4851 without a remainder.
1,3,7,9,11,21,33,49,63,77,99,147,231,441,539,693,1617,4851
Factors of 4103
List of positive integer factors of 4103 that divides 4103 without a remainder.
1,11,373,4103
Greatest Common Factor
We found the factors 4851,4103 . The biggest common factor number is the GCF number.
So the greatest common factor 4851,4103 is 11.
Lets's calculate LCM of 847,5254
Given numbers has no common factors except 1. So, there LCM is their product i.e 4450138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4450138
Therefore, the GCF of Fractions 4851/847,4103/5254 is 11/4450138
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 847,5254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,5254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,5254) x common factors =1 x 1 = 1
LCM(847,5254) = ( 847 × 5254 ) / 1
LCM(847,5254) = 4450138 / 1
LCM(847,5254) = 4450138
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 4851/847, 4103/5254?
Answer: GCF of Numerators as per given numbers 4851/847, 4103/5254 is
GCF of Numerators i.e. for 4851,4103 is 11
LCM of denominators i.e. for 847,5254 is 4450138.
Thus, GCF of Fractions is 11/4450138.Finally, GCF of Fractions for 4851/847, 4103/5254 is 11/4450138.