Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2161/909,7713/811
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 2161,7713
Greatest Common Factor of Numerators i.e. GCF of 2161,7713 is 1 .
LCM of Denominators means LCM of 909,811 as per the given fractions.
LCM of 909,811 is 737199 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2161,7713
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2161
List of positive integer factors of 2161 that divides 2161 without a remainder.
1,2161
Factors of 7713
List of positive integer factors of 7713 that divides 7713 without a remainder.
1,3,9,857,2571,7713
Greatest Common Factor
We found the factors 2161,7713 . The biggest common factor number is the GCF number.
So the greatest common factor 2161,7713 is 1.
Lets's calculate LCM of 909,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 737199
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/737199
Therefore, the GCF of Fractions 2161/909,7713/811 is 1/737199
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 909,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,811) x common factors =1 x 1 = 1
LCM(909,811) = ( 909 × 811 ) / 1
LCM(909,811) = 737199 / 1
LCM(909,811) = 737199
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 2161/909, 7713/811?
Answer: GCF of Numerators as per given numbers 2161/909, 7713/811 is
GCF of Numerators i.e. for 2161,7713 is 1
LCM of denominators i.e. for 909,811 is 737199.
Thus, GCF of Fractions is 1/737199.Finally, GCF of Fractions for 2161/909, 7713/811 is 1/737199.