Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8767/329,4183/5055
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 8767,4183
Greatest Common Factor of Numerators i.e. GCF of 8767,4183 is 1 .
LCM of Denominators means LCM of 329,5055 as per the given fractions.
LCM of 329,5055 is 1663095 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8767,4183
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8767
List of positive integer factors of 8767 that divides 8767 without a remainder.
1,11,797,8767
Factors of 4183
List of positive integer factors of 4183 that divides 4183 without a remainder.
1,47,89,4183
Greatest Common Factor
We found the factors 8767,4183 . The biggest common factor number is the GCF number.
So the greatest common factor 8767,4183 is 1.
Lets's calculate LCM of 329,5055
Given numbers has no common factors except 1. So, there LCM is their product i.e 1663095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1663095
Therefore, the GCF of Fractions 8767/329,4183/5055 is 1/1663095
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 329,5055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,5055) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,5055) x common factors =1 x 1 = 1
LCM(329,5055) = ( 329 × 5055 ) / 1
LCM(329,5055) = 1663095 / 1
LCM(329,5055) = 1663095
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 8767/329, 4183/5055?
Answer: GCF of Numerators as per given numbers 8767/329, 4183/5055 is
GCF of Numerators i.e. for 8767,4183 is 1
LCM of denominators i.e. for 329,5055 is 1663095.
Thus, GCF of Fractions is 1/1663095.Finally, GCF of Fractions for 8767/329, 4183/5055 is 1/1663095.