Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 811/41,6408/592
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 811,6408
Greatest Common Factor of Numerators i.e. GCF of 811,6408 is 1 .
LCM of Denominators means LCM of 41,592 as per the given fractions.
LCM of 41,592 is 24272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 811,6408
∴ 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 6408
List of positive integer factors of 6408 that divides 6408 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,89,178,267,356,534,712,801,1068,1602,2136,3204,6408
Greatest Common Factor
We found the factors 811,6408 . The biggest common factor number is the GCF number.
So the greatest common factor 811,6408 is 1.
Lets's calculate LCM of 41,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 24272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24272
Therefore, the GCF of Fractions 811/41,6408/592 is 1/24272
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 41,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,592) x common factors =1 x 1 = 1
LCM(41,592) = ( 41 × 592 ) / 1
LCM(41,592) = 24272 / 1
LCM(41,592) = 24272
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 811/41, 6408/592?
Answer: GCF of Numerators as per given numbers 811/41, 6408/592 is
GCF of Numerators i.e. for 811,6408 is 1
LCM of denominators i.e. for 41,592 is 24272.
Thus, GCF of Fractions is 1/24272.Finally, GCF of Fractions for 811/41, 6408/592 is 1/24272.