Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3073/51,3860/307
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 3073,3860
Greatest Common Factor of Numerators i.e. GCF of 3073,3860 is 1 .
LCM of Denominators means LCM of 51,307 as per the given fractions.
LCM of 51,307 is 15657 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3073,3860
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3073
List of positive integer factors of 3073 that divides 3073 without a remainder.
1,7,439,3073
Factors of 3860
List of positive integer factors of 3860 that divides 3860 without a remainder.
1,2,4,5,10,20,193,386,772,965,1930,3860
Greatest Common Factor
We found the factors 3073,3860 . The biggest common factor number is the GCF number.
So the greatest common factor 3073,3860 is 1.
Lets's calculate LCM of 51,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 15657
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15657
Therefore, the GCF of Fractions 3073/51,3860/307 is 1/15657
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 51,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,307) x common factors =1 x 1 = 1
LCM(51,307) = ( 51 × 307 ) / 1
LCM(51,307) = 15657 / 1
LCM(51,307) = 15657
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 3073/51, 3860/307?
Answer: GCF of Numerators as per given numbers 3073/51, 3860/307 is
GCF of Numerators i.e. for 3073,3860 is 1
LCM of denominators i.e. for 51,307 is 15657.
Thus, GCF of Fractions is 1/15657.Finally, GCF of Fractions for 3073/51, 3860/307 is 1/15657.