Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3001/588,4158/6386
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 3001,4158
Greatest Common Factor of Numerators i.e. GCF of 3001,4158 is 1 .
LCM of Denominators means LCM of 588,6386 as per the given fractions.
LCM of 588,6386 is 1877484 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3001,4158
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3001
List of positive integer factors of 3001 that divides 3001 without a remainder.
1,3001
Factors of 4158
List of positive integer factors of 4158 that divides 4158 without a remainder.
1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158
Greatest Common Factor
We found the factors 3001,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 3001,4158 is 1.
Lets's calculate LCM of 588,6386
2 | 588, 6386 |
294, 3193 |
∴ So the LCM of the given numbers is 2 x 294 x 3193 = 1877484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1877484
Therefore, the GCF of Fractions 3001/588,4158/6386 is 1/1877484
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 588,6386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,6386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(588,6386) x common factors =2 x 1 = 2
LCM(588,6386) = ( 588 × 6386 ) / 2
LCM(588,6386) = 3754968 / 2
LCM(588,6386) = 1877484
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 3001/588, 4158/6386?
Answer: GCF of Numerators as per given numbers 3001/588, 4158/6386 is
GCF of Numerators i.e. for 3001,4158 is 1
LCM of denominators i.e. for 588,6386 is 1877484.
Thus, GCF of Fractions is 1/1877484.Finally, GCF of Fractions for 3001/588, 4158/6386 is 1/1877484.