Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6804/41,4478/933
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 6804,4478
Greatest Common Factor of Numerators i.e. GCF of 6804,4478 is 2 .
LCM of Denominators means LCM of 41,933 as per the given fractions.
LCM of 41,933 is 38253 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6804,4478
2 | 6804, 4478 |
3402, 2239 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6804
List of positive integer factors of 6804 that divides 6804 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804
Factors of 4478
List of positive integer factors of 4478 that divides 4478 without a remainder.
1,2,2239,4478
Greatest Common Factor
We found the factors 6804,4478 . The biggest common factor number is the GCF number.
So the greatest common factor 6804,4478 is 2.
Lets's calculate LCM of 41,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 38253
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38253
Therefore, the GCF of Fractions 6804/41,4478/933 is 2/38253
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 41,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,933) x common factors =1 x 1 = 1
LCM(41,933) = ( 41 × 933 ) / 1
LCM(41,933) = 38253 / 1
LCM(41,933) = 38253
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 6804/41, 4478/933?
Answer: GCF of Numerators as per given numbers 6804/41, 4478/933 is
GCF of Numerators i.e. for 6804,4478 is 2
LCM of denominators i.e. for 41,933 is 38253.
Thus, GCF of Fractions is 2/38253.Finally, GCF of Fractions for 6804/41, 4478/933 is 2/38253.