Use our free GCF of Fractions Calculator tool to compute the GCF of 484/657, 920/738 i.e 4/53874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 484/657, 920/738.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 484/657,920/738
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 484/657,920/738, numerators are 484,920
Denominators are 657,738
The GCF of 484,920 is 4 .
LCM of 657,738 is 53874.
The greatest common factor of 484/657,920/738 = [GCF of 484,920]/[LCM of 657,738]= 4/53874
Therefore, the GCF of 484/657,920/738 is 4/53874.
To find the highest common factor of 484,920, we have to find the factors of both numbers and list the highest common factor.
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The HCF of 484,920 is 4.
Lets's calculate GCF of 484,920
2 | 484, 920 |
2 | 242, 460 |
121, 230 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 484
:1,2,4,11,22,44,121,242,484
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 484,920 . The biggest common factor number is the GCF number.
So the greatest common factor 484,920 is 4.
Lets's calculate LCM of 657,738
3 | 657, 738 |
3 | 219, 246 |
73, 82 |
∴ So the LCM of the given numbers is 3 x 3 x 73 x 82 = 53874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/53874
Therefore, the GCF of Fractions 484/657,920/738 is 4/53874
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 657,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,738) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(657,738) x common factors =9 x 1 = 9
LCM(657,738) = ( 657 × 738 ) / 9
LCM(657,738) = 484866 / 9
LCM(657,738) = 53874
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 484,920?
The HCF of 484,920 is 4
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 484/657, 920/738?
Answer: GCF of Numerators as per given numbers 484/657, 920/738 is
GCF of Numerators i.e. for 484,920 is 4
LCM of denominators i.e. for 657,738 is 53874.
Thus, GCF of Fractions is 4/53874.Finally, GCF of Fractions for 484/657, 920/738 is 4/53874.