Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6071/23,6929/902
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 6071,6929
Greatest Common Factor of Numerators i.e. GCF of 6071,6929 is 13 .
LCM of Denominators means LCM of 23,902 as per the given fractions.
LCM of 23,902 is 20746 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6071,6929
13 | 6071, 6929 |
467, 533 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 6071
List of positive integer factors of 6071 that divides 6071 without a remainder.
1,13,467,6071
Factors of 6929
List of positive integer factors of 6929 that divides 6929 without a remainder.
1,13,41,169,533,6929
Greatest Common Factor
We found the factors 6071,6929 . The biggest common factor number is the GCF number.
So the greatest common factor 6071,6929 is 13.
Lets's calculate LCM of 23,902
Given numbers has no common factors except 1. So, there LCM is their product i.e 20746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/20746
Therefore, the GCF of Fractions 6071/23,6929/902 is 13/20746
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 23,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,902) x common factors =1 x 1 = 1
LCM(23,902) = ( 23 × 902 ) / 1
LCM(23,902) = 20746 / 1
LCM(23,902) = 20746
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 6071/23, 6929/902?
Answer: GCF of Numerators as per given numbers 6071/23, 6929/902 is
GCF of Numerators i.e. for 6071,6929 is 13
LCM of denominators i.e. for 23,902 is 20746.
Thus, GCF of Fractions is 13/20746.Finally, GCF of Fractions for 6071/23, 6929/902 is 13/20746.