Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3777/661,7942/7877
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 3777,7942
Greatest Common Factor of Numerators i.e. GCF of 3777,7942 is 1 .
LCM of Denominators means LCM of 661,7877 as per the given fractions.
LCM of 661,7877 is 5206697 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3777,7942
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3777
List of positive integer factors of 3777 that divides 3777 without a remainder.
1,3,1259,3777
Factors of 7942
List of positive integer factors of 7942 that divides 7942 without a remainder.
1,2,11,19,22,38,209,361,418,722,3971,7942
Greatest Common Factor
We found the factors 3777,7942 . The biggest common factor number is the GCF number.
So the greatest common factor 3777,7942 is 1.
Lets's calculate LCM of 661,7877
Given numbers has no common factors except 1. So, there LCM is their product i.e 5206697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5206697
Therefore, the GCF of Fractions 3777/661,7942/7877 is 1/5206697
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 661,7877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,7877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,7877) x common factors =1 x 1 = 1
LCM(661,7877) = ( 661 × 7877 ) / 1
LCM(661,7877) = 5206697 / 1
LCM(661,7877) = 5206697
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 3777/661, 7942/7877?
Answer: GCF of Numerators as per given numbers 3777/661, 7942/7877 is
GCF of Numerators i.e. for 3777,7942 is 1
LCM of denominators i.e. for 661,7877 is 5206697.
Thus, GCF of Fractions is 1/5206697.Finally, GCF of Fractions for 3777/661, 7942/7877 is 1/5206697.