Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2863/47,9700/841
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 2863,9700
Greatest Common Factor of Numerators i.e. GCF of 2863,9700 is 1 .
LCM of Denominators means LCM of 47,841 as per the given fractions.
LCM of 47,841 is 39527 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2863,9700
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2863
List of positive integer factors of 2863 that divides 2863 without a remainder.
1,7,409,2863
Factors of 9700
List of positive integer factors of 9700 that divides 9700 without a remainder.
1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700
Greatest Common Factor
We found the factors 2863,9700 . The biggest common factor number is the GCF number.
So the greatest common factor 2863,9700 is 1.
Lets's calculate LCM of 47,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 39527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39527
Therefore, the GCF of Fractions 2863/47,9700/841 is 1/39527
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 47,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,841) x common factors =1 x 1 = 1
LCM(47,841) = ( 47 × 841 ) / 1
LCM(47,841) = 39527 / 1
LCM(47,841) = 39527
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 2863/47, 9700/841?
Answer: GCF of Numerators as per given numbers 2863/47, 9700/841 is
GCF of Numerators i.e. for 2863,9700 is 1
LCM of denominators i.e. for 47,841 is 39527.
Thus, GCF of Fractions is 1/39527.Finally, GCF of Fractions for 2863/47, 9700/841 is 1/39527.