Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/46,67/38,671/287
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 93,67,671
Greatest Common Factor of Numerators i.e. GCF of 93,67,671 is 1 .
LCM of Denominators means LCM of 46,38,287 as per the given fractions.
LCM of 46,38,287 is 250838 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,67,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors 93,67,671 . The biggest common factor number is the GCF number.
So the greatest common factor 93,67,671 is 1.
Lets's calculate LCM of 46,38,287
2 | 46, 38, 287 |
23, 19, 287 |
∴ So the LCM of the given numbers is 2 x 23 x 19 x 287 = 250838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250838
Therefore, the GCF of Fractions 93/46,67/38,671/287 is 1/250838
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 46,38,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,38,287) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(46,38,287) x common factors =1 x 2 = 2
LCM(46,38,287) = ( 46 × 38 × 287 ) / 2
LCM(46,38,287) = 501676 / 2
LCM(46,38,287) = 250838
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 93/46, 67/38, 671/287?
Answer: GCF of Numerators as per given numbers 93/46, 67/38, 671/287 is
GCF of Numerators i.e. for 93,67,671 is 1
LCM of denominators i.e. for 46,38,287 is 250838.
Thus, GCF of Fractions is 1/250838.Finally, GCF of Fractions for 93/46, 67/38, 671/287 is 1/250838.