Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 864/660,211/842,238/673
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 864,211,238
Greatest Common Factor of Numerators i.e. GCF of 864,211,238 is 1 .
LCM of Denominators means LCM of 660,842,673 as per the given fractions.
LCM of 660,842,673 is 186999780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 864,211,238
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 864,211,238 . The biggest common factor number is the GCF number.
So the greatest common factor 864,211,238 is 1.
Lets's calculate LCM of 660,842,673
2 | 660, 842, 673 |
330, 421, 673 |
∴ So the LCM of the given numbers is 2 x 330 x 421 x 673 = 186999780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186999780
Therefore, the GCF of Fractions 864/660,211/842,238/673 is 1/186999780
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 660,842,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,842,673) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(660,842,673) x common factors =1 x 2 = 2
LCM(660,842,673) = ( 660 × 842 × 673 ) / 2
LCM(660,842,673) = 373999560 / 2
LCM(660,842,673) = 186999780
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 864/660, 211/842, 238/673?
Answer: GCF of Numerators as per given numbers 864/660, 211/842, 238/673 is
GCF of Numerators i.e. for 864,211,238 is 1
LCM of denominators i.e. for 660,842,673 is 186999780.
Thus, GCF of Fractions is 1/186999780.Finally, GCF of Fractions for 864/660, 211/842, 238/673 is 1/186999780.