Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 811/533,6771/9675
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 811,6771
Greatest Common Factor of Numerators i.e. GCF of 811,6771 is 1 .
LCM of Denominators means LCM of 533,9675 as per the given fractions.
LCM of 533,9675 is 5156775 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 811,6771
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 6771
List of positive integer factors of 6771 that divides 6771 without a remainder.
1,3,37,61,111,183,2257,6771
Greatest Common Factor
We found the factors 811,6771 . The biggest common factor number is the GCF number.
So the greatest common factor 811,6771 is 1.
Lets's calculate LCM of 533,9675
Given numbers has no common factors except 1. So, there LCM is their product i.e 5156775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5156775
Therefore, the GCF of Fractions 811/533,6771/9675 is 1/5156775
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 533,9675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,9675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,9675) x common factors =1 x 1 = 1
LCM(533,9675) = ( 533 × 9675 ) / 1
LCM(533,9675) = 5156775 / 1
LCM(533,9675) = 5156775
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 811/533, 6771/9675?
Answer: GCF of Numerators as per given numbers 811/533, 6771/9675 is
GCF of Numerators i.e. for 811,6771 is 1
LCM of denominators i.e. for 533,9675 is 5156775.
Thus, GCF of Fractions is 1/5156775.Finally, GCF of Fractions for 811/533, 6771/9675 is 1/5156775.