Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 995/19,246/79,183/279
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 995,246,183
Greatest Common Factor of Numerators i.e. GCF of 995,246,183 is 1 .
LCM of Denominators means LCM of 19,79,279 as per the given fractions.
LCM of 19,79,279 is 418779 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 995,246,183
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 995,246,183 . The biggest common factor number is the GCF number.
So the greatest common factor 995,246,183 is 1.
Lets's calculate LCM of 19,79,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 418779
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418779
Therefore, the GCF of Fractions 995/19,246/79,183/279 is 1/418779
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 19,79,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,79,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,79,279) x common factors =1 x 1 = 1
LCM(19,79,279) = ( 19 × 79 × 279 ) / 1
LCM(19,79,279) = 418779 / 1
LCM(19,79,279) = 418779
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 995/19, 246/79, 183/279?
Answer: GCF of Numerators as per given numbers 995/19, 246/79, 183/279 is
GCF of Numerators i.e. for 995,246,183 is 1
LCM of denominators i.e. for 19,79,279 is 418779.
Thus, GCF of Fractions is 1/418779.Finally, GCF of Fractions for 995/19, 246/79, 183/279 is 1/418779.