Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6027/104,4048/1217
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 6027,4048
Greatest Common Factor of Numerators i.e. GCF of 6027,4048 is 1 .
LCM of Denominators means LCM of 104,1217 as per the given fractions.
LCM of 104,1217 is 126568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6027,4048
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6027
List of positive integer factors of 6027 that divides 6027 without a remainder.
1,3,7,21,41,49,123,147,287,861,2009,6027
Factors of 4048
List of positive integer factors of 4048 that divides 4048 without a remainder.
1,2,4,8,11,16,22,23,44,46,88,92,176,184,253,368,506,1012,2024,4048
Greatest Common Factor
We found the factors 6027,4048 . The biggest common factor number is the GCF number.
So the greatest common factor 6027,4048 is 1.
Lets's calculate LCM of 104,1217
Given numbers has no common factors except 1. So, there LCM is their product i.e 126568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126568
Therefore, the GCF of Fractions 6027/104,4048/1217 is 1/126568
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 104,1217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,1217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(104,1217) x common factors =1 x 1 = 1
LCM(104,1217) = ( 104 × 1217 ) / 1
LCM(104,1217) = 126568 / 1
LCM(104,1217) = 126568
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 6027/104, 4048/1217?
Answer: GCF of Numerators as per given numbers 6027/104, 4048/1217 is
GCF of Numerators i.e. for 6027,4048 is 1
LCM of denominators i.e. for 104,1217 is 126568.
Thus, GCF of Fractions is 1/126568.Finally, GCF of Fractions for 6027/104, 4048/1217 is 1/126568.