Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 240/67,183/78,838/48
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 240,183,838
Greatest Common Factor of Numerators i.e. GCF of 240,183,838 is 1 .
LCM of Denominators means LCM of 67,78,48 as per the given fractions.
LCM of 67,78,48 is 41808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 240,183,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 240,183,838 . The biggest common factor number is the GCF number.
So the greatest common factor 240,183,838 is 1.
Lets's calculate LCM of 67,78,48
2 | 67, 78, 48 |
3 | 67, 39, 24 |
67, 13, 8 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 13 x 8 = 41808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41808
Therefore, the GCF of Fractions 240/67,183/78,838/48 is 1/41808
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 67,78,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,78,48) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(67,78,48) x common factors =1 x 6 = 6
LCM(67,78,48) = ( 67 × 78 × 48 ) / 6
LCM(67,78,48) = 250848 / 6
LCM(67,78,48) = 41808
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 240/67, 183/78, 838/48?
Answer: GCF of Numerators as per given numbers 240/67, 183/78, 838/48 is
GCF of Numerators i.e. for 240,183,838 is 1
LCM of denominators i.e. for 67,78,48 is 41808.
Thus, GCF of Fractions is 1/41808.Finally, GCF of Fractions for 240/67, 183/78, 838/48 is 1/41808.