Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7823/19,4255/104
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 7823,4255
Greatest Common Factor of Numerators i.e. GCF of 7823,4255 is 1 .
LCM of Denominators means LCM of 19,104 as per the given fractions.
LCM of 19,104 is 1976 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7823,4255
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7823
List of positive integer factors of 7823 that divides 7823 without a remainder.
1,7823
Factors of 4255
List of positive integer factors of 4255 that divides 4255 without a remainder.
1,5,23,37,115,185,851,4255
Greatest Common Factor
We found the factors 7823,4255 . The biggest common factor number is the GCF number.
So the greatest common factor 7823,4255 is 1.
Lets's calculate LCM of 19,104
Given numbers has no common factors except 1. So, there LCM is their product i.e 1976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1976
Therefore, the GCF of Fractions 7823/19,4255/104 is 1/1976
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 19,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,104) x common factors =1 x 1 = 1
LCM(19,104) = ( 19 × 104 ) / 1
LCM(19,104) = 1976 / 1
LCM(19,104) = 1976
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 7823/19, 4255/104?
Answer: GCF of Numerators as per given numbers 7823/19, 4255/104 is
GCF of Numerators i.e. for 7823,4255 is 1
LCM of denominators i.e. for 19,104 is 1976.
Thus, GCF of Fractions is 1/1976.Finally, GCF of Fractions for 7823/19, 4255/104 is 1/1976.