Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4729/63,2671/983
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 4729,2671
Greatest Common Factor of Numerators i.e. GCF of 4729,2671 is 1 .
LCM of Denominators means LCM of 63,983 as per the given fractions.
LCM of 63,983 is 61929 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4729,2671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4729
List of positive integer factors of 4729 that divides 4729 without a remainder.
1,4729
Factors of 2671
List of positive integer factors of 2671 that divides 2671 without a remainder.
1,2671
Greatest Common Factor
We found the factors 4729,2671 . The biggest common factor number is the GCF number.
So the greatest common factor 4729,2671 is 1.
Lets's calculate LCM of 63,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 61929
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61929
Therefore, the GCF of Fractions 4729/63,2671/983 is 1/61929
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 63,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,983) x common factors =1 x 1 = 1
LCM(63,983) = ( 63 × 983 ) / 1
LCM(63,983) = 61929 / 1
LCM(63,983) = 61929
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 4729/63, 2671/983?
Answer: GCF of Numerators as per given numbers 4729/63, 2671/983 is
GCF of Numerators i.e. for 4729,2671 is 1
LCM of denominators i.e. for 63,983 is 61929.
Thus, GCF of Fractions is 1/61929.Finally, GCF of Fractions for 4729/63, 2671/983 is 1/61929.