Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 101/33,793/4933
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 101,793
Greatest Common Factor of Numerators i.e. GCF of 101,793 is 1 .
LCM of Denominators means LCM of 33,4933 as per the given fractions.
LCM of 33,4933 is 162789 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 101,793
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Greatest Common Factor
We found the factors 101,793 . The biggest common factor number is the GCF number.
So the greatest common factor 101,793 is 1.
Lets's calculate LCM of 33,4933
Given numbers has no common factors except 1. So, there LCM is their product i.e 162789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162789
Therefore, the GCF of Fractions 101/33,793/4933 is 1/162789
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 33,4933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,4933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,4933) x common factors =1 x 1 = 1
LCM(33,4933) = ( 33 × 4933 ) / 1
LCM(33,4933) = 162789 / 1
LCM(33,4933) = 162789
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 101/33, 793/4933?
Answer: GCF of Numerators as per given numbers 101/33, 793/4933 is
GCF of Numerators i.e. for 101,793 is 1
LCM of denominators i.e. for 33,4933 is 162789.
Thus, GCF of Fractions is 1/162789.Finally, GCF of Fractions for 101/33, 793/4933 is 1/162789.