Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 799/33,509/7901
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 799,509
Greatest Common Factor of Numerators i.e. GCF of 799,509 is 1 .
LCM of Denominators means LCM of 33,7901 as per the given fractions.
LCM of 33,7901 is 260733 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 799,509
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Greatest Common Factor
We found the factors 799,509 . The biggest common factor number is the GCF number.
So the greatest common factor 799,509 is 1.
Lets's calculate LCM of 33,7901
Given numbers has no common factors except 1. So, there LCM is their product i.e 260733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260733
Therefore, the GCF of Fractions 799/33,509/7901 is 1/260733
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 33,7901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,7901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,7901) x common factors =1 x 1 = 1
LCM(33,7901) = ( 33 × 7901 ) / 1
LCM(33,7901) = 260733 / 1
LCM(33,7901) = 260733
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 799/33, 509/7901?
Answer: GCF of Numerators as per given numbers 799/33, 509/7901 is
GCF of Numerators i.e. for 799,509 is 1
LCM of denominators i.e. for 33,7901 is 260733.
Thus, GCF of Fractions is 1/260733.Finally, GCF of Fractions for 799/33, 509/7901 is 1/260733.