Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/55,53/45,398/288
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 81,53,398
Greatest Common Factor of Numerators i.e. GCF of 81,53,398 is 1 .
LCM of Denominators means LCM of 55,45,288 as per the given fractions.
LCM of 55,45,288 is 15840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,53,398
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Greatest Common Factor
We found the factors 81,53,398 . The biggest common factor number is the GCF number.
So the greatest common factor 81,53,398 is 1.
Lets's calculate LCM of 55,45,288
3 | 55, 45, 288 |
3 | 55, 15, 96 |
5 | 55, 5, 32 |
11, 1, 32 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 1 x 32 = 15840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15840
Therefore, the GCF of Fractions 81/55,53/45,398/288 is 1/15840
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 55,45,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,45,288) = 1
common factors(in case of two or more numbers have common factors) = 45
GCF(55,45,288) x common factors =1 x 45 = 45
LCM(55,45,288) = ( 55 × 45 × 288 ) / 45
LCM(55,45,288) = 712800 / 45
LCM(55,45,288) = 15840
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 81/55, 53/45, 398/288?
Answer: GCF of Numerators as per given numbers 81/55, 53/45, 398/288 is
GCF of Numerators i.e. for 81,53,398 is 1
LCM of denominators i.e. for 55,45,288 is 15840.
Thus, GCF of Fractions is 1/15840.Finally, GCF of Fractions for 81/55, 53/45, 398/288 is 1/15840.