Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/59,18/32,290/848
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 23,18,290
Greatest Common Factor of Numerators i.e. GCF of 23,18,290 is 1 .
LCM of Denominators means LCM of 59,32,848 as per the given fractions.
LCM of 59,32,848 is 100064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,18,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 23,18,290 . The biggest common factor number is the GCF number.
So the greatest common factor 23,18,290 is 1.
Lets's calculate LCM of 59,32,848
2 | 59, 32, 848 |
2 | 59, 16, 424 |
2 | 59, 8, 212 |
2 | 59, 4, 106 |
59, 2, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 59 x 2 x 53 = 100064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100064
Therefore, the GCF of Fractions 23/59,18/32,290/848 is 1/100064
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 59,32,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,32,848) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(59,32,848) x common factors =1 x 16 = 16
LCM(59,32,848) = ( 59 × 32 × 848 ) / 16
LCM(59,32,848) = 1601024 / 16
LCM(59,32,848) = 100064
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 23/59, 18/32, 290/848?
Answer: GCF of Numerators as per given numbers 23/59, 18/32, 290/848 is
GCF of Numerators i.e. for 23,18,290 is 1
LCM of denominators i.e. for 59,32,848 is 100064.
Thus, GCF of Fractions is 1/100064.Finally, GCF of Fractions for 23/59, 18/32, 290/848 is 1/100064.