Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9803/79,6249/711
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 9803,6249
Greatest Common Factor of Numerators i.e. GCF of 9803,6249 is 1 .
LCM of Denominators means LCM of 79,711 as per the given fractions.
LCM of 79,711 is 711 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9803,6249
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9803
List of positive integer factors of 9803 that divides 9803 without a remainder.
1,9803
Factors of 6249
List of positive integer factors of 6249 that divides 6249 without a remainder.
1,3,2083,6249
Greatest Common Factor
We found the factors 9803,6249 . The biggest common factor number is the GCF number.
So the greatest common factor 9803,6249 is 1.
Lets's calculate LCM of 79,711
79 | 79, 711 |
1, 9 |
∴ So the LCM of the given numbers is 79 x 1 x 9 = 711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/711
Therefore, the GCF of Fractions 9803/79,6249/711 is 1/711
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 79,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,711) = 79
common factors(in case of two or more numbers have common factors) = 1
GCF(79,711) x common factors =79 x 1 = 79
LCM(79,711) = ( 79 × 711 ) / 79
LCM(79,711) = 56169 / 79
LCM(79,711) = 711
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 9803/79, 6249/711?
Answer: GCF of Numerators as per given numbers 9803/79, 6249/711 is
GCF of Numerators i.e. for 9803,6249 is 1
LCM of denominators i.e. for 79,711 is 711.
Thus, GCF of Fractions is 1/711.Finally, GCF of Fractions for 9803/79, 6249/711 is 1/711.