Use our free GCF of Fractions Calculator tool to compute the GCF of 229/260, 604/686 i.e 1/89180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 229/260, 604/686.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 229/260,604/686
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 229/260,604/686, numerators are 229,604
Denominators are 260,686
The GCF of 229,604 is 1 .
LCM of 260,686 is 89180.
The greatest common factor of 229/260,604/686 = [GCF of 229,604]/[LCM of 260,686]= 1/89180
Therefore, the GCF of 229/260,604/686 is 1/89180.
To find the highest common factor of 229,604, we have to find the factors of both numbers and list the highest common factor.
The factors of 229 are 1, 229
The factors of 604 are 1, 2, 4, 151, 302, 604
The HCF of 229,604 is 1.
Lets's calculate GCF of 229,604
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 229
:1,229
Now, list down the factors of 604
:1,2,4,151,302,604
Greatest Common Factor
We found the factors 229,604 . The biggest common factor number is the GCF number.
So the greatest common factor 229,604 is 1.
Lets's calculate LCM of 260,686
2 | 260, 686 |
130, 343 |
∴ So the LCM of the given numbers is 2 x 130 x 343 = 89180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89180
Therefore, the GCF of Fractions 229/260,604/686 is 1/89180
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 260,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(260,686) x common factors =2 x 1 = 2
LCM(260,686) = ( 260 × 686 ) / 2
LCM(260,686) = 178360 / 2
LCM(260,686) = 89180
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 229,604?
The HCF of 229,604 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 229/260, 604/686?
Answer: GCF of Numerators as per given numbers 229/260, 604/686 is
GCF of Numerators i.e. for 229,604 is 1
LCM of denominators i.e. for 260,686 is 89180.
Thus, GCF of Fractions is 1/89180.Finally, GCF of Fractions for 229/260, 604/686 is 1/89180.