Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5117/101,6467/4276
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 5117,6467
Greatest Common Factor of Numerators i.e. GCF of 5117,6467 is 1 .
LCM of Denominators means LCM of 101,4276 as per the given fractions.
LCM of 101,4276 is 431876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5117,6467
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5117
List of positive integer factors of 5117 that divides 5117 without a remainder.
1,7,17,43,119,301,731,5117
Factors of 6467
List of positive integer factors of 6467 that divides 6467 without a remainder.
1,29,223,6467
Greatest Common Factor
We found the factors 5117,6467 . The biggest common factor number is the GCF number.
So the greatest common factor 5117,6467 is 1.
Lets's calculate LCM of 101,4276
Given numbers has no common factors except 1. So, there LCM is their product i.e 431876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/431876
Therefore, the GCF of Fractions 5117/101,6467/4276 is 1/431876
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 101,4276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,4276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,4276) x common factors =1 x 1 = 1
LCM(101,4276) = ( 101 × 4276 ) / 1
LCM(101,4276) = 431876 / 1
LCM(101,4276) = 431876
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 5117/101, 6467/4276?
Answer: GCF of Numerators as per given numbers 5117/101, 6467/4276 is
GCF of Numerators i.e. for 5117,6467 is 1
LCM of denominators i.e. for 101,4276 is 431876.
Thus, GCF of Fractions is 1/431876.Finally, GCF of Fractions for 5117/101, 6467/4276 is 1/431876.