Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 159/35,663/2217
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 159,663
Greatest Common Factor of Numerators i.e. GCF of 159,663 is 3 .
LCM of Denominators means LCM of 35,2217 as per the given fractions.
LCM of 35,2217 is 77595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 159,663
3 | 159, 663 |
53, 221 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 159,663 . The biggest common factor number is the GCF number.
So the greatest common factor 159,663 is 3.
Lets's calculate LCM of 35,2217
Given numbers has no common factors except 1. So, there LCM is their product i.e 77595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77595
Therefore, the GCF of Fractions 159/35,663/2217 is 3/77595
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 35,2217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,2217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,2217) x common factors =1 x 1 = 1
LCM(35,2217) = ( 35 × 2217 ) / 1
LCM(35,2217) = 77595 / 1
LCM(35,2217) = 77595
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 159/35, 663/2217?
Answer: GCF of Numerators as per given numbers 159/35, 663/2217 is
GCF of Numerators i.e. for 159,663 is 3
LCM of denominators i.e. for 35,2217 is 77595.
Thus, GCF of Fractions is 3/77595.Finally, GCF of Fractions for 159/35, 663/2217 is 3/77595.