Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 368/341,265/625,246/555
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 368,265,246
Greatest Common Factor of Numerators i.e. GCF of 368,265,246 is 1 .
LCM of Denominators means LCM of 341,625,555 as per the given fractions.
LCM of 341,625,555 is 23656875 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 368,265,246
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 368,265,246 . The biggest common factor number is the GCF number.
So the greatest common factor 368,265,246 is 1.
Lets's calculate LCM of 341,625,555
5 | 341, 625, 555 |
341, 125, 111 |
∴ So the LCM of the given numbers is 5 x 341 x 125 x 111 = 23656875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23656875
Therefore, the GCF of Fractions 368/341,265/625,246/555 is 1/23656875
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 341,625,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,625,555) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(341,625,555) x common factors =1 x 5 = 5
LCM(341,625,555) = ( 341 × 625 × 555 ) / 5
LCM(341,625,555) = 118284375 / 5
LCM(341,625,555) = 23656875
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 368/341, 265/625, 246/555?
Answer: GCF of Numerators as per given numbers 368/341, 265/625, 246/555 is
GCF of Numerators i.e. for 368,265,246 is 1
LCM of denominators i.e. for 341,625,555 is 23656875.
Thus, GCF of Fractions is 1/23656875.Finally, GCF of Fractions for 368/341, 265/625, 246/555 is 1/23656875.