Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/57,209/88,976/81
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 4,209,976
Greatest Common Factor of Numerators i.e. GCF of 4,209,976 is 1 .
LCM of Denominators means LCM of 57,88,81 as per the given fractions.
LCM of 57,88,81 is 135432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,209,976
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 4,209,976 . The biggest common factor number is the GCF number.
So the greatest common factor 4,209,976 is 1.
Lets's calculate LCM of 57,88,81
3 | 57, 88, 81 |
19, 88, 27 |
∴ So the LCM of the given numbers is 3 x 19 x 88 x 27 = 135432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135432
Therefore, the GCF of Fractions 4/57,209/88,976/81 is 1/135432
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 57,88,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,88,81) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(57,88,81) x common factors =1 x 3 = 3
LCM(57,88,81) = ( 57 × 88 × 81 ) / 3
LCM(57,88,81) = 406296 / 3
LCM(57,88,81) = 135432
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 4/57, 209/88, 976/81?
Answer: GCF of Numerators as per given numbers 4/57, 209/88, 976/81 is
GCF of Numerators i.e. for 4,209,976 is 1
LCM of denominators i.e. for 57,88,81 is 135432.
Thus, GCF of Fractions is 1/135432.Finally, GCF of Fractions for 4/57, 209/88, 976/81 is 1/135432.