Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/27,61/59,383/141
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 48,61,383
Greatest Common Factor of Numerators i.e. GCF of 48,61,383 is 1 .
LCM of Denominators means LCM of 27,59,141 as per the given fractions.
LCM of 27,59,141 is 74871 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 48,61,383
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Greatest Common Factor
We found the factors 48,61,383 . The biggest common factor number is the GCF number.
So the greatest common factor 48,61,383 is 1.
Lets's calculate LCM of 27,59,141
3 | 27, 59, 141 |
9, 59, 47 |
∴ So the LCM of the given numbers is 3 x 9 x 59 x 47 = 74871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74871
Therefore, the GCF of Fractions 48/27,61/59,383/141 is 1/74871
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 27,59,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,59,141) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(27,59,141) x common factors =1 x 3 = 3
LCM(27,59,141) = ( 27 × 59 × 141 ) / 3
LCM(27,59,141) = 224613 / 3
LCM(27,59,141) = 74871
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 48/27, 61/59, 383/141?
Answer: GCF of Numerators as per given numbers 48/27, 61/59, 383/141 is
GCF of Numerators i.e. for 48,61,383 is 1
LCM of denominators i.e. for 27,59,141 is 74871.
Thus, GCF of Fractions is 1/74871.Finally, GCF of Fractions for 48/27, 61/59, 383/141 is 1/74871.