Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9288/15,8246/898
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 9288,8246
Greatest Common Factor of Numerators i.e. GCF of 9288,8246 is 2 .
LCM of Denominators means LCM of 15,898 as per the given fractions.
LCM of 15,898 is 13470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9288,8246
2 | 9288, 8246 |
4644, 4123 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9288
List of positive integer factors of 9288 that divides 9288 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,43,54,72,86,108,129,172,216,258,344,387,516,774,1032,1161,1548,2322,3096,4644,9288
Factors of 8246
List of positive integer factors of 8246 that divides 8246 without a remainder.
1,2,7,14,19,31,38,62,133,217,266,434,589,1178,4123,8246
Greatest Common Factor
We found the factors 9288,8246 . The biggest common factor number is the GCF number.
So the greatest common factor 9288,8246 is 2.
Lets's calculate LCM of 15,898
Given numbers has no common factors except 1. So, there LCM is their product i.e 13470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13470
Therefore, the GCF of Fractions 9288/15,8246/898 is 2/13470
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 15,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,898) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,898) x common factors =1 x 1 = 1
LCM(15,898) = ( 15 × 898 ) / 1
LCM(15,898) = 13470 / 1
LCM(15,898) = 13470
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 9288/15, 8246/898?
Answer: GCF of Numerators as per given numbers 9288/15, 8246/898 is
GCF of Numerators i.e. for 9288,8246 is 2
LCM of denominators i.e. for 15,898 is 13470.
Thus, GCF of Fractions is 2/13470.Finally, GCF of Fractions for 9288/15, 8246/898 is 2/13470.