Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/46,99/63,93/43,86/12
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 18,99,93,86
Greatest Common Factor of Numerators i.e. GCF of 18,99,93,86 is 1 .
LCM of Denominators means LCM of 46,63,43,12 as per the given fractions.
LCM of 46,63,43,12 is 249228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,99,93,86
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Greatest Common Factor
We found the factors 18,99,93,86 . The biggest common factor number is the GCF number.
So the greatest common factor 18,99,93,86 is 1.
Lets's calculate LCM of 46,63,43,12
2 | 46, 63, 43, 12 |
3 | 23, 63, 43, 6 |
23, 21, 43, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 21 x 43 x 2 = 249228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249228
Therefore, the GCF of Fractions 18/46,99/63,93/43,86/12 is 1/249228
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 46,63,43,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,63,43,12) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(46,63,43,12) x common factors =1 x 6 = 6
LCM(46,63,43,12) = ( 46 × 63 × 43 × 12 ) / 6
LCM(46,63,43,12) = 1495368 / 6
LCM(46,63,43,12) = 249228
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 18/46, 99/63, 93/43, 86/12?
Answer: GCF of Numerators as per given numbers 18/46, 99/63, 93/43, 86/12 is
GCF of Numerators i.e. for 18,99,93,86 is 1
LCM of denominators i.e. for 46,63,43,12 is 249228.
Thus, GCF of Fractions is 1/249228.Finally, GCF of Fractions for 18/46, 99/63, 93/43, 86/12 is 1/249228.