Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 306/618,111/155,884/957
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 306,111,884
Greatest Common Factor of Numerators i.e. GCF of 306,111,884 is 1 .
LCM of Denominators means LCM of 618,155,957 as per the given fractions.
LCM of 618,155,957 is 30557010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 306,111,884
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 306,111,884 . The biggest common factor number is the GCF number.
So the greatest common factor 306,111,884 is 1.
Lets's calculate LCM of 618,155,957
3 | 618, 155, 957 |
206, 155, 319 |
∴ So the LCM of the given numbers is 3 x 206 x 155 x 319 = 30557010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30557010
Therefore, the GCF of Fractions 306/618,111/155,884/957 is 1/30557010
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 618,155,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,155,957) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(618,155,957) x common factors =1 x 3 = 3
LCM(618,155,957) = ( 618 × 155 × 957 ) / 3
LCM(618,155,957) = 91671030 / 3
LCM(618,155,957) = 30557010
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 306/618, 111/155, 884/957?
Answer: GCF of Numerators as per given numbers 306/618, 111/155, 884/957 is
GCF of Numerators i.e. for 306,111,884 is 1
LCM of denominators i.e. for 618,155,957 is 30557010.
Thus, GCF of Fractions is 1/30557010.Finally, GCF of Fractions for 306/618, 111/155, 884/957 is 1/30557010.