Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 574/588,8918/725
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 574,8918
Greatest Common Factor of Numerators i.e. GCF of 574,8918 is 14 .
LCM of Denominators means LCM of 588,725 as per the given fractions.
LCM of 588,725 is 426300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 574,8918
2 | 574, 8918 |
7 | 287, 4459 |
41, 637 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 8918
List of positive integer factors of 8918 that divides 8918 without a remainder.
1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918
Greatest Common Factor
We found the factors 574,8918 . The biggest common factor number is the GCF number.
So the greatest common factor 574,8918 is 14.
Lets's calculate LCM of 588,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 426300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/426300
Therefore, the GCF of Fractions 574/588,8918/725 is 14/426300
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 588,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(588,725) x common factors =1 x 1 = 1
LCM(588,725) = ( 588 × 725 ) / 1
LCM(588,725) = 426300 / 1
LCM(588,725) = 426300
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 574/588, 8918/725?
Answer: GCF of Numerators as per given numbers 574/588, 8918/725 is
GCF of Numerators i.e. for 574,8918 is 14
LCM of denominators i.e. for 588,725 is 426300.
Thus, GCF of Fractions is 14/426300.Finally, GCF of Fractions for 574/588, 8918/725 is 14/426300.