Use our free GCF of Fractions Calculator tool to compute the GCF of 482/498, 320/412 i.e 2/102588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 482/498, 320/412.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 482/498,320/412
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 482/498,320/412, numerators are 482,320
Denominators are 498,412
The GCF of 482,320 is 2 .
LCM of 498,412 is 102588.
The greatest common factor of 482/498,320/412 = [GCF of 482,320]/[LCM of 498,412]= 2/102588
Therefore, the GCF of 482/498,320/412 is 2/102588.
To find the highest common factor of 482,320, we have to find the factors of both numbers and list the highest common factor.
The factors of 482 are 1, 2, 241, 482
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The HCF of 482,320 is 2.
Lets's calculate GCF of 482,320
2 | 482, 320 |
241, 160 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 482
:1,2,241,482
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 482,320 . The biggest common factor number is the GCF number.
So the greatest common factor 482,320 is 2.
Lets's calculate LCM of 498,412
2 | 498, 412 |
249, 206 |
∴ So the LCM of the given numbers is 2 x 249 x 206 = 102588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102588
Therefore, the GCF of Fractions 482/498,320/412 is 2/102588
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 498,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,412) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,412) x common factors =2 x 1 = 2
LCM(498,412) = ( 498 × 412 ) / 2
LCM(498,412) = 205176 / 2
LCM(498,412) = 102588
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 482,320?
The HCF of 482,320 is 2
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 482/498, 320/412?
Answer: GCF of Numerators as per given numbers 482/498, 320/412 is
GCF of Numerators i.e. for 482,320 is 2
LCM of denominators i.e. for 498,412 is 102588.
Thus, GCF of Fractions is 2/102588.Finally, GCF of Fractions for 482/498, 320/412 is 2/102588.