Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2078/83,4101/295
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 2078,4101
Greatest Common Factor of Numerators i.e. GCF of 2078,4101 is 1 .
LCM of Denominators means LCM of 83,295 as per the given fractions.
LCM of 83,295 is 24485 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2078,4101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2078
List of positive integer factors of 2078 that divides 2078 without a remainder.
1,2,1039,2078
Factors of 4101
List of positive integer factors of 4101 that divides 4101 without a remainder.
1,3,1367,4101
Greatest Common Factor
We found the factors 2078,4101 . The biggest common factor number is the GCF number.
So the greatest common factor 2078,4101 is 1.
Lets's calculate LCM of 83,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 24485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24485
Therefore, the GCF of Fractions 2078/83,4101/295 is 1/24485
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 83,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,295) x common factors =1 x 1 = 1
LCM(83,295) = ( 83 × 295 ) / 1
LCM(83,295) = 24485 / 1
LCM(83,295) = 24485
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 2078/83, 4101/295?
Answer: GCF of Numerators as per given numbers 2078/83, 4101/295 is
GCF of Numerators i.e. for 2078,4101 is 1
LCM of denominators i.e. for 83,295 is 24485.
Thus, GCF of Fractions is 1/24485.Finally, GCF of Fractions for 2078/83, 4101/295 is 1/24485.