Use our free GCF of Fractions Calculator tool to compute the GCF of 15/47, 370/48, 513/766 i.e 1/864048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/47, 370/48, 513/766.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/47,370/48,513/766
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 15/47,370/48,513/766, numerators are 15,370,513
Denominators are 47,48,766
The GCF of 15,370,513 is 1 .
LCM of 47,48,766 is 864048.
The greatest common factor of 15/47,370/48,513/766 = [GCF of 15,370,513]/[LCM of 47,48,766]= 1/864048
Therefore, the GCF of 15/47,370/48,513/766 is 1/864048.
To find the highest common factor of 15,370,513, 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 370 are 1, 2, 5, 10, 37, 74, 185, 370
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The HCF of 15,370,513 is 1.
Lets's calculate GCF of 15,370,513
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 15,370,513 . The biggest common factor number is the GCF number.
So the greatest common factor 15,370,513 is 1.
Lets's calculate LCM of 47,48,766
2 | 47, 48, 766 |
47, 24, 383 |
∴ So the LCM of the given numbers is 2 x 47 x 24 x 383 = 864048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/864048
Therefore, the GCF of Fractions 15/47,370/48,513/766 is 1/864048
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 47,48,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,48,766) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(47,48,766) x common factors =1 x 2 = 2
LCM(47,48,766) = ( 47 × 48 × 766 ) / 2
LCM(47,48,766) = 1728096 / 2
LCM(47,48,766) = 864048
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,370,513?
The HCF of 15,370,513 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 15/47, 370/48, 513/766?
Answer: GCF of Numerators as per given numbers 15/47, 370/48, 513/766 is
GCF of Numerators i.e. for 15,370,513 is 1
LCM of denominators i.e. for 47,48,766 is 864048.
Thus, GCF of Fractions is 1/864048.Finally, GCF of Fractions for 15/47, 370/48, 513/766 is 1/864048.