Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 271/54,897/66,231/46
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 271,897,231
Greatest Common Factor of Numerators i.e. GCF of 271,897,231 is 1 .
LCM of Denominators means LCM of 54,66,46 as per the given fractions.
LCM of 54,66,46 is 13662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 271,897,231
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 271,897,231 . The biggest common factor number is the GCF number.
So the greatest common factor 271,897,231 is 1.
Lets's calculate LCM of 54,66,46
2 | 54, 66, 46 |
3 | 27, 33, 23 |
9, 11, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 11 x 23 = 13662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13662
Therefore, the GCF of Fractions 271/54,897/66,231/46 is 1/13662
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 54,66,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,66,46) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(54,66,46) x common factors =2 x 6 = 12
LCM(54,66,46) = ( 54 × 66 × 46 ) / 12
LCM(54,66,46) = 163944 / 12
LCM(54,66,46) = 13662
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 271/54, 897/66, 231/46?
Answer: GCF of Numerators as per given numbers 271/54, 897/66, 231/46 is
GCF of Numerators i.e. for 271,897,231 is 1
LCM of denominators i.e. for 54,66,46 is 13662.
Thus, GCF of Fractions is 1/13662.Finally, GCF of Fractions for 271/54, 897/66, 231/46 is 1/13662.