Use our free GCF of Fractions Calculator tool to compute the GCF of 494/274, 7229/879 i.e 1/240846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/274, 7229/879.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/274,7229/879
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 494/274,7229/879, numerators are 494,7229
Denominators are 274,879
The GCF of 494,7229 is 1 .
LCM of 274,879 is 240846.
The greatest common factor of 494/274,7229/879 = [GCF of 494,7229]/[LCM of 274,879]= 1/240846
Therefore, the GCF of 494/274,7229/879 is 1/240846.
To find the highest common factor of 494,7229, we have to find the factors of both numbers and list the highest common factor.
The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494
The factors of 7229 are 1, 7229
The HCF of 494,7229 is 1.
Lets's calculate GCF of 494,7229
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Now, list down the factors of 7229
:1,7229
Greatest Common Factor
We found the factors 494,7229 . The biggest common factor number is the GCF number.
So the greatest common factor 494,7229 is 1.
Lets's calculate LCM of 274,879
Given numbers has no common factors except 1. So, there LCM is their product i.e 240846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240846
Therefore, the GCF of Fractions 494/274,7229/879 is 1/240846
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 274,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,879) x common factors =1 x 1 = 1
LCM(274,879) = ( 274 × 879 ) / 1
LCM(274,879) = 240846 / 1
LCM(274,879) = 240846
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 494,7229?
The HCF of 494,7229 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 494/274, 7229/879?
Answer: GCF of Numerators as per given numbers 494/274, 7229/879 is
GCF of Numerators i.e. for 494,7229 is 1
LCM of denominators i.e. for 274,879 is 240846.
Thus, GCF of Fractions is 1/240846.Finally, GCF of Fractions for 494/274, 7229/879 is 1/240846.