Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3715/47,1277/889
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 3715,1277
Greatest Common Factor of Numerators i.e. GCF of 3715,1277 is 1 .
LCM of Denominators means LCM of 47,889 as per the given fractions.
LCM of 47,889 is 41783 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3715,1277
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3715
List of positive integer factors of 3715 that divides 3715 without a remainder.
1,5,743,3715
Factors of 1277
List of positive integer factors of 1277 that divides 1277 without a remainder.
1,1277
Greatest Common Factor
We found the factors 3715,1277 . The biggest common factor number is the GCF number.
So the greatest common factor 3715,1277 is 1.
Lets's calculate LCM of 47,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 41783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41783
Therefore, the GCF of Fractions 3715/47,1277/889 is 1/41783
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 47,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,889) x common factors =1 x 1 = 1
LCM(47,889) = ( 47 × 889 ) / 1
LCM(47,889) = 41783 / 1
LCM(47,889) = 41783
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 3715/47, 1277/889?
Answer: GCF of Numerators as per given numbers 3715/47, 1277/889 is
GCF of Numerators i.e. for 3715,1277 is 1
LCM of denominators i.e. for 47,889 is 41783.
Thus, GCF of Fractions is 1/41783.Finally, GCF of Fractions for 3715/47, 1277/889 is 1/41783.