Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5334/808,9083/9360
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 5334,9083
Greatest Common Factor of Numerators i.e. GCF of 5334,9083 is 1 .
LCM of Denominators means LCM of 808,9360 as per the given fractions.
LCM of 808,9360 is 945360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5334,9083
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5334
List of positive integer factors of 5334 that divides 5334 without a remainder.
1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334
Factors of 9083
List of positive integer factors of 9083 that divides 9083 without a remainder.
1,31,293,9083
Greatest Common Factor
We found the factors 5334,9083 . The biggest common factor number is the GCF number.
So the greatest common factor 5334,9083 is 1.
Lets's calculate LCM of 808,9360
2 | 808, 9360 |
2 | 404, 4680 |
2 | 202, 2340 |
101, 1170 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 1170 = 945360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/945360
Therefore, the GCF of Fractions 5334/808,9083/9360 is 1/945360
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 808,9360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,9360) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(808,9360) x common factors =8 x 1 = 8
LCM(808,9360) = ( 808 × 9360 ) / 8
LCM(808,9360) = 7562880 / 8
LCM(808,9360) = 945360
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 5334/808, 9083/9360?
Answer: GCF of Numerators as per given numbers 5334/808, 9083/9360 is
GCF of Numerators i.e. for 5334,9083 is 1
LCM of denominators i.e. for 808,9360 is 945360.
Thus, GCF of Fractions is 1/945360.Finally, GCF of Fractions for 5334/808, 9083/9360 is 1/945360.