Use our free GCF of Fractions Calculator tool to compute the GCF of 9/12, 46/13, 80/728, 499/363 i.e 1/264264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/12, 46/13, 80/728, 499/363.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/12,46/13,80/728,499/363
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 9/12,46/13,80/728,499/363, numerators are 9,46,80,499
Denominators are 12,13,728,363
The GCF of 9,46,80,499 is 1 .
LCM of 12,13,728,363 is 264264.
The greatest common factor of 9/12,46/13,80/728,499/363 = [GCF of 9,46,80,499]/[LCM of 12,13,728,363]= 1/264264
Therefore, the GCF of 9/12,46/13,80/728,499/363 is 1/264264.
To find the highest common factor of 9,46,80,499, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 46 are 1, 2, 23, 46
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 499 are 1, 499
The HCF of 9,46,80,499 is 1.
Lets's calculate GCF of 9,46,80,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 499
:1,499
Greatest Common Factor
We found the factors 9,46,80,499 . The biggest common factor number is the GCF number.
So the greatest common factor 9,46,80,499 is 1.
Lets's calculate LCM of 12,13,728,363
2 | 12, 13, 728, 363 |
2 | 6, 13, 364, 363 |
3 | 3, 13, 182, 363 |
13 | 1, 13, 182, 121 |
1, 1, 14, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 1 x 1 x 14 x 121 = 264264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264264
Therefore, the GCF of Fractions 9/12,46/13,80/728,499/363 is 1/264264
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 12,13,728,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,13,728,363) = 1
common factors(in case of two or more numbers have common factors) = 156
GCF(12,13,728,363) x common factors =1 x 156 = 156
LCM(12,13,728,363) = ( 12 × 13 × 728 × 363 ) / 156
LCM(12,13,728,363) = 41225184 / 156
LCM(12,13,728,363) = 264264
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9,46,80,499?
The HCF of 9,46,80,499 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 9/12, 46/13, 80/728, 499/363?
Answer: GCF of Numerators as per given numbers 9/12, 46/13, 80/728, 499/363 is
GCF of Numerators i.e. for 9,46,80,499 is 1
LCM of denominators i.e. for 12,13,728,363 is 264264.
Thus, GCF of Fractions is 1/264264.Finally, GCF of Fractions for 9/12, 46/13, 80/728, 499/363 is 1/264264.