Use our free GCF of Fractions Calculator tool to compute the GCF of 99/86, 745/50, 539/422 i.e 1/453650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/86, 745/50, 539/422.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/86,745/50,539/422
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 99/86,745/50,539/422, numerators are 99,745,539
Denominators are 86,50,422
The GCF of 99,745,539 is 1 .
LCM of 86,50,422 is 453650.
The greatest common factor of 99/86,745/50,539/422 = [GCF of 99,745,539]/[LCM of 86,50,422]= 1/453650
Therefore, the GCF of 99/86,745/50,539/422 is 1/453650.
To find the highest common factor of 99,745,539, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 745 are 1, 5, 149, 745
The factors of 539 are 1, 7, 11, 49, 77, 539
The HCF of 99,745,539 is 1.
Lets's calculate GCF of 99,745,539
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 745
:1,5,149,745
Now, list down the factors of 539
:1,7,11,49,77,539
Greatest Common Factor
We found the factors 99,745,539 . The biggest common factor number is the GCF number.
So the greatest common factor 99,745,539 is 1.
Lets's calculate LCM of 86,50,422
2 | 86, 50, 422 |
43, 25, 211 |
∴ So the LCM of the given numbers is 2 x 43 x 25 x 211 = 453650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453650
Therefore, the GCF of Fractions 99/86,745/50,539/422 is 1/453650
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 86,50,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,50,422) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,50,422) x common factors =2 x 2 = 4
LCM(86,50,422) = ( 86 × 50 × 422 ) / 4
LCM(86,50,422) = 1814600 / 4
LCM(86,50,422) = 453650
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 99,745,539?
The HCF of 99,745,539 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 99/86, 745/50, 539/422?
Answer: GCF of Numerators as per given numbers 99/86, 745/50, 539/422 is
GCF of Numerators i.e. for 99,745,539 is 1
LCM of denominators i.e. for 86,50,422 is 453650.
Thus, GCF of Fractions is 1/453650.Finally, GCF of Fractions for 99/86, 745/50, 539/422 is 1/453650.