Use our free GCF of Fractions Calculator tool to compute the GCF of 15/54, 363/29, 762/459 i.e 3/26622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/54, 363/29, 762/459.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/54,363/29,762/459
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 15/54,363/29,762/459, numerators are 15,363,762
Denominators are 54,29,459
The GCF of 15,363,762 is 3 .
LCM of 54,29,459 is 26622.
The greatest common factor of 15/54,363/29,762/459 = [GCF of 15,363,762]/[LCM of 54,29,459]= 3/26622
Therefore, the GCF of 15/54,363/29,762/459 is 3/26622.
To find the highest common factor of 15,363,762, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 363 are 1, 3, 11, 33, 121, 363
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 15,363,762 is 3.
Lets's calculate GCF of 15,363,762
3 | 15, 363, 762 |
5, 121, 254 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 363
:1,3,11,33,121,363
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 15,363,762 . The biggest common factor number is the GCF number.
So the greatest common factor 15,363,762 is 3.
Lets's calculate LCM of 54,29,459
3 | 54, 29, 459 |
3 | 18, 29, 153 |
3 | 6, 29, 51 |
2, 29, 17 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 2 x 29 x 17 = 26622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26622
Therefore, the GCF of Fractions 15/54,363/29,762/459 is 3/26622
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 54,29,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,29,459) = 1
common factors(in case of two or more numbers have common factors) = 27
GCF(54,29,459) x common factors =1 x 27 = 27
LCM(54,29,459) = ( 54 × 29 × 459 ) / 27
LCM(54,29,459) = 718794 / 27
LCM(54,29,459) = 26622
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,363,762?
The HCF of 15,363,762 is 3
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 15/54, 363/29, 762/459?
Answer: GCF of Numerators as per given numbers 15/54, 363/29, 762/459 is
GCF of Numerators i.e. for 15,363,762 is 3
LCM of denominators i.e. for 54,29,459 is 26622.
Thus, GCF of Fractions is 3/26622.Finally, GCF of Fractions for 15/54, 363/29, 762/459 is 3/26622.