Use our free GCF of Fractions Calculator tool to compute the GCF of 394/360, 280/633 i.e 2/75960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/360, 280/633.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 394/360,280/633
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 394/360,280/633, numerators are 394,280
Denominators are 360,633
The GCF of 394,280 is 2 .
LCM of 360,633 is 75960.
The greatest common factor of 394/360,280/633 = [GCF of 394,280]/[LCM of 360,633]= 2/75960
Therefore, the GCF of 394/360,280/633 is 2/75960.
To find the highest common factor of 394,280, we have to find the factors of both numbers and list the highest common factor.
The factors of 394 are 1, 2, 197, 394
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The HCF of 394,280 is 2.
Lets's calculate GCF of 394,280
2 | 394, 280 |
197, 140 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 394
:1,2,197,394
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 394,280 . The biggest common factor number is the GCF number.
So the greatest common factor 394,280 is 2.
Lets's calculate LCM of 360,633
3 | 360, 633 |
120, 211 |
∴ So the LCM of the given numbers is 3 x 120 x 211 = 75960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75960
Therefore, the GCF of Fractions 394/360,280/633 is 2/75960
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 360,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,633) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(360,633) x common factors =3 x 1 = 3
LCM(360,633) = ( 360 × 633 ) / 3
LCM(360,633) = 227880 / 3
LCM(360,633) = 75960
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 394,280?
The HCF of 394,280 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 394/360, 280/633?
Answer: GCF of Numerators as per given numbers 394/360, 280/633 is
GCF of Numerators i.e. for 394,280 is 2
LCM of denominators i.e. for 360,633 is 75960.
Thus, GCF of Fractions is 2/75960.Finally, GCF of Fractions for 394/360, 280/633 is 2/75960.