Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6711/311,6540/4163
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 6711,6540
Greatest Common Factor of Numerators i.e. GCF of 6711,6540 is 3 .
LCM of Denominators means LCM of 311,4163 as per the given fractions.
LCM of 311,4163 is 1294693 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6711,6540
3 | 6711, 6540 |
2237, 2180 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6711
List of positive integer factors of 6711 that divides 6711 without a remainder.
1,3,2237,6711
Factors of 6540
List of positive integer factors of 6540 that divides 6540 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540
Greatest Common Factor
We found the factors 6711,6540 . The biggest common factor number is the GCF number.
So the greatest common factor 6711,6540 is 3.
Lets's calculate LCM of 311,4163
Given numbers has no common factors except 1. So, there LCM is their product i.e 1294693
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1294693
Therefore, the GCF of Fractions 6711/311,6540/4163 is 3/1294693
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 311,4163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,4163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,4163) x common factors =1 x 1 = 1
LCM(311,4163) = ( 311 × 4163 ) / 1
LCM(311,4163) = 1294693 / 1
LCM(311,4163) = 1294693
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 6711/311, 6540/4163?
Answer: GCF of Numerators as per given numbers 6711/311, 6540/4163 is
GCF of Numerators i.e. for 6711,6540 is 3
LCM of denominators i.e. for 311,4163 is 1294693.
Thus, GCF of Fractions is 3/1294693.Finally, GCF of Fractions for 6711/311, 6540/4163 is 3/1294693.