Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8673/590,1993/7262
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 8673,1993
Greatest Common Factor of Numerators i.e. GCF of 8673,1993 is 1 .
LCM of Denominators means LCM of 590,7262 as per the given fractions.
LCM of 590,7262 is 2142290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8673,1993
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8673
List of positive integer factors of 8673 that divides 8673 without a remainder.
1,3,7,21,49,59,147,177,413,1239,2891,8673
Factors of 1993
List of positive integer factors of 1993 that divides 1993 without a remainder.
1,1993
Greatest Common Factor
We found the factors 8673,1993 . The biggest common factor number is the GCF number.
So the greatest common factor 8673,1993 is 1.
Lets's calculate LCM of 590,7262
2 | 590, 7262 |
295, 3631 |
∴ So the LCM of the given numbers is 2 x 295 x 3631 = 2142290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2142290
Therefore, the GCF of Fractions 8673/590,1993/7262 is 1/2142290
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 590,7262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,7262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,7262) x common factors =2 x 1 = 2
LCM(590,7262) = ( 590 × 7262 ) / 2
LCM(590,7262) = 4284580 / 2
LCM(590,7262) = 2142290
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 8673/590, 1993/7262?
Answer: GCF of Numerators as per given numbers 8673/590, 1993/7262 is
GCF of Numerators i.e. for 8673,1993 is 1
LCM of denominators i.e. for 590,7262 is 2142290.
Thus, GCF of Fractions is 1/2142290.Finally, GCF of Fractions for 8673/590, 1993/7262 is 1/2142290.