Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9888/51,7567/585
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 9888,7567
Greatest Common Factor of Numerators i.e. GCF of 9888,7567 is 1 .
LCM of Denominators means LCM of 51,585 as per the given fractions.
LCM of 51,585 is 9945 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9888,7567
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9888
List of positive integer factors of 9888 that divides 9888 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888
Factors of 7567
List of positive integer factors of 7567 that divides 7567 without a remainder.
1,7,23,47,161,329,1081,7567
Greatest Common Factor
We found the factors 9888,7567 . The biggest common factor number is the GCF number.
So the greatest common factor 9888,7567 is 1.
Lets's calculate LCM of 51,585
3 | 51, 585 |
17, 195 |
∴ So the LCM of the given numbers is 3 x 17 x 195 = 9945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9945
Therefore, the GCF of Fractions 9888/51,7567/585 is 1/9945
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 51,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,585) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(51,585) x common factors =3 x 1 = 3
LCM(51,585) = ( 51 × 585 ) / 3
LCM(51,585) = 29835 / 3
LCM(51,585) = 9945
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 9888/51, 7567/585?
Answer: GCF of Numerators as per given numbers 9888/51, 7567/585 is
GCF of Numerators i.e. for 9888,7567 is 1
LCM of denominators i.e. for 51,585 is 9945.
Thus, GCF of Fractions is 1/9945.Finally, GCF of Fractions for 9888/51, 7567/585 is 1/9945.