Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 384/66,765/38,123/853
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 384,765,123
Greatest Common Factor of Numerators i.e. GCF of 384,765,123 is 3 .
LCM of Denominators means LCM of 66,38,853 as per the given fractions.
LCM of 66,38,853 is 1069662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 384,765,123
3 | 384, 765, 123 |
128, 255, 41 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 384,765,123 . The biggest common factor number is the GCF number.
So the greatest common factor 384,765,123 is 3.
Lets's calculate LCM of 66,38,853
2 | 66, 38, 853 |
33, 19, 853 |
∴ So the LCM of the given numbers is 2 x 33 x 19 x 853 = 1069662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1069662
Therefore, the GCF of Fractions 384/66,765/38,123/853 is 3/1069662
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 66,38,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,38,853) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(66,38,853) x common factors =1 x 2 = 2
LCM(66,38,853) = ( 66 × 38 × 853 ) / 2
LCM(66,38,853) = 2139324 / 2
LCM(66,38,853) = 1069662
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 384/66, 765/38, 123/853?
Answer: GCF of Numerators as per given numbers 384/66, 765/38, 123/853 is
GCF of Numerators i.e. for 384,765,123 is 3
LCM of denominators i.e. for 66,38,853 is 1069662.
Thus, GCF of Fractions is 3/1069662.Finally, GCF of Fractions for 384/66, 765/38, 123/853 is 3/1069662.