Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 847/686,9010/2201
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 847,9010
Greatest Common Factor of Numerators i.e. GCF of 847,9010 is 1 .
LCM of Denominators means LCM of 686,2201 as per the given fractions.
LCM of 686,2201 is 1509886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 847,9010
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 9010
List of positive integer factors of 9010 that divides 9010 without a remainder.
1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010
Greatest Common Factor
We found the factors 847,9010 . The biggest common factor number is the GCF number.
So the greatest common factor 847,9010 is 1.
Lets's calculate LCM of 686,2201
Given numbers has no common factors except 1. So, there LCM is their product i.e 1509886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1509886
Therefore, the GCF of Fractions 847/686,9010/2201 is 1/1509886
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 686,2201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,2201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,2201) x common factors =1 x 1 = 1
LCM(686,2201) = ( 686 × 2201 ) / 1
LCM(686,2201) = 1509886 / 1
LCM(686,2201) = 1509886
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 847/686, 9010/2201?
Answer: GCF of Numerators as per given numbers 847/686, 9010/2201 is
GCF of Numerators i.e. for 847,9010 is 1
LCM of denominators i.e. for 686,2201 is 1509886.
Thus, GCF of Fractions is 1/1509886.Finally, GCF of Fractions for 847/686, 9010/2201 is 1/1509886.