Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6813/47,7587/304
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 6813,7587
Greatest Common Factor of Numerators i.e. GCF of 6813,7587 is 9 .
LCM of Denominators means LCM of 47,304 as per the given fractions.
LCM of 47,304 is 14288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6813,7587
3 | 6813, 7587 |
3 | 2271, 2529 |
757, 843 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 6813
List of positive integer factors of 6813 that divides 6813 without a remainder.
1,3,9,757,2271,6813
Factors of 7587
List of positive integer factors of 7587 that divides 7587 without a remainder.
1,3,9,27,281,843,2529,7587
Greatest Common Factor
We found the factors 6813,7587 . The biggest common factor number is the GCF number.
So the greatest common factor 6813,7587 is 9.
Lets's calculate LCM of 47,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 14288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/14288
Therefore, the GCF of Fractions 6813/47,7587/304 is 9/14288
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 47,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,304) x common factors =1 x 1 = 1
LCM(47,304) = ( 47 × 304 ) / 1
LCM(47,304) = 14288 / 1
LCM(47,304) = 14288
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 6813/47, 7587/304?
Answer: GCF of Numerators as per given numbers 6813/47, 7587/304 is
GCF of Numerators i.e. for 6813,7587 is 9
LCM of denominators i.e. for 47,304 is 14288.
Thus, GCF of Fractions is 9/14288.Finally, GCF of Fractions for 6813/47, 7587/304 is 9/14288.