Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7281/588,1673/2265
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 7281,1673
Greatest Common Factor of Numerators i.e. GCF of 7281,1673 is 1 .
LCM of Denominators means LCM of 588,2265 as per the given fractions.
LCM of 588,2265 is 443940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7281,1673
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7281
List of positive integer factors of 7281 that divides 7281 without a remainder.
1,3,9,809,2427,7281
Factors of 1673
List of positive integer factors of 1673 that divides 1673 without a remainder.
1,7,239,1673
Greatest Common Factor
We found the factors 7281,1673 . The biggest common factor number is the GCF number.
So the greatest common factor 7281,1673 is 1.
Lets's calculate LCM of 588,2265
3 | 588, 2265 |
196, 755 |
∴ So the LCM of the given numbers is 3 x 196 x 755 = 443940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/443940
Therefore, the GCF of Fractions 7281/588,1673/2265 is 1/443940
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 588,2265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,2265) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(588,2265) x common factors =3 x 1 = 3
LCM(588,2265) = ( 588 × 2265 ) / 3
LCM(588,2265) = 1331820 / 3
LCM(588,2265) = 443940
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 7281/588, 1673/2265?
Answer: GCF of Numerators as per given numbers 7281/588, 1673/2265 is
GCF of Numerators i.e. for 7281,1673 is 1
LCM of denominators i.e. for 588,2265 is 443940.
Thus, GCF of Fractions is 1/443940.Finally, GCF of Fractions for 7281/588, 1673/2265 is 1/443940.