Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4717/47,7784/790
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 4717,7784
Greatest Common Factor of Numerators i.e. GCF of 4717,7784 is 1 .
LCM of Denominators means LCM of 47,790 as per the given fractions.
LCM of 47,790 is 37130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4717,7784
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4717
List of positive integer factors of 4717 that divides 4717 without a remainder.
1,53,89,4717
Factors of 7784
List of positive integer factors of 7784 that divides 7784 without a remainder.
1,2,4,7,8,14,28,56,139,278,556,973,1112,1946,3892,7784
Greatest Common Factor
We found the factors 4717,7784 . The biggest common factor number is the GCF number.
So the greatest common factor 4717,7784 is 1.
Lets's calculate LCM of 47,790
Given numbers has no common factors except 1. So, there LCM is their product i.e 37130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37130
Therefore, the GCF of Fractions 4717/47,7784/790 is 1/37130
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 47,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,790) x common factors =1 x 1 = 1
LCM(47,790) = ( 47 × 790 ) / 1
LCM(47,790) = 37130 / 1
LCM(47,790) = 37130
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 4717/47, 7784/790?
Answer: GCF of Numerators as per given numbers 4717/47, 7784/790 is
GCF of Numerators i.e. for 4717,7784 is 1
LCM of denominators i.e. for 47,790 is 37130.
Thus, GCF of Fractions is 1/37130.Finally, GCF of Fractions for 4717/47, 7784/790 is 1/37130.