Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4281/583,5952/618
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 4281,5952
Greatest Common Factor of Numerators i.e. GCF of 4281,5952 is 3 .
LCM of Denominators means LCM of 583,618 as per the given fractions.
LCM of 583,618 is 360294 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4281,5952
3 | 4281, 5952 |
1427, 1984 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4281
List of positive integer factors of 4281 that divides 4281 without a remainder.
1,3,1427,4281
Factors of 5952
List of positive integer factors of 5952 that divides 5952 without a remainder.
1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952
Greatest Common Factor
We found the factors 4281,5952 . The biggest common factor number is the GCF number.
So the greatest common factor 4281,5952 is 3.
Lets's calculate LCM of 583,618
Given numbers has no common factors except 1. So, there LCM is their product i.e 360294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/360294
Therefore, the GCF of Fractions 4281/583,5952/618 is 3/360294
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 583,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,618) x common factors =1 x 1 = 1
LCM(583,618) = ( 583 × 618 ) / 1
LCM(583,618) = 360294 / 1
LCM(583,618) = 360294
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 4281/583, 5952/618?
Answer: GCF of Numerators as per given numbers 4281/583, 5952/618 is
GCF of Numerators i.e. for 4281,5952 is 3
LCM of denominators i.e. for 583,618 is 360294.
Thus, GCF of Fractions is 3/360294.Finally, GCF of Fractions for 4281/583, 5952/618 is 3/360294.