Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5948/897,7593/5117
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 5948,7593
Greatest Common Factor of Numerators i.e. GCF of 5948,7593 is 1 .
LCM of Denominators means LCM of 897,5117 as per the given fractions.
LCM of 897,5117 is 4589949 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5948,7593
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5948
List of positive integer factors of 5948 that divides 5948 without a remainder.
1,2,4,1487,2974,5948
Factors of 7593
List of positive integer factors of 7593 that divides 7593 without a remainder.
1,3,2531,7593
Greatest Common Factor
We found the factors 5948,7593 . The biggest common factor number is the GCF number.
So the greatest common factor 5948,7593 is 1.
Lets's calculate LCM of 897,5117
Given numbers has no common factors except 1. So, there LCM is their product i.e 4589949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4589949
Therefore, the GCF of Fractions 5948/897,7593/5117 is 1/4589949
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 897,5117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,5117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,5117) x common factors =1 x 1 = 1
LCM(897,5117) = ( 897 × 5117 ) / 1
LCM(897,5117) = 4589949 / 1
LCM(897,5117) = 4589949
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 5948/897, 7593/5117?
Answer: GCF of Numerators as per given numbers 5948/897, 7593/5117 is
GCF of Numerators i.e. for 5948,7593 is 1
LCM of denominators i.e. for 897,5117 is 4589949.
Thus, GCF of Fractions is 1/4589949.Finally, GCF of Fractions for 5948/897, 7593/5117 is 1/4589949.