Use our free GCF of Fractions Calculator tool to compute the GCF of 479/320, 274/588 i.e 1/47040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 479/320, 274/588.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 479/320,274/588
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 479/320,274/588, numerators are 479,274
Denominators are 320,588
The GCF of 479,274 is 1 .
LCM of 320,588 is 47040.
The greatest common factor of 479/320,274/588 = [GCF of 479,274]/[LCM of 320,588]= 1/47040
Therefore, the GCF of 479/320,274/588 is 1/47040.
To find the highest common factor of 479,274, we have to find the factors of both numbers and list the highest common factor.
The factors of 479 are 1, 479
The factors of 274 are 1, 2, 137, 274
The HCF of 479,274 is 1.
Lets's calculate GCF of 479,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 479
:1,479
Now, list down the factors of 274
:1,2,137,274
Greatest Common Factor
We found the factors 479,274 . The biggest common factor number is the GCF number.
So the greatest common factor 479,274 is 1.
Lets's calculate LCM of 320,588
2 | 320, 588 |
2 | 160, 294 |
80, 147 |
∴ So the LCM of the given numbers is 2 x 2 x 80 x 147 = 47040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47040
Therefore, the GCF of Fractions 479/320,274/588 is 1/47040
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 320,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,588) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(320,588) x common factors =4 x 1 = 4
LCM(320,588) = ( 320 × 588 ) / 4
LCM(320,588) = 188160 / 4
LCM(320,588) = 47040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 479,274?
The HCF of 479,274 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 479/320, 274/588?
Answer: GCF of Numerators as per given numbers 479/320, 274/588 is
GCF of Numerators i.e. for 479,274 is 1
LCM of denominators i.e. for 320,588 is 47040.
Thus, GCF of Fractions is 1/47040.Finally, GCF of Fractions for 479/320, 274/588 is 1/47040.