GCF of 415/992, 468/878, 591/239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 415/992, 468/878, 591/239 i.e 1/104081632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 415/992, 468/878, 591/239.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 415/992,468/878,591/239?
Given fractions are 415/992,468/878,591/239
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 415/992,468/878,591/239, numerators are 415,468,591
Denominators are 992,878,239
The GCF of 415,468,591 is 1 .
LCM of 992,878,239 is 104081632.
The greatest common factor of 415/992,468/878,591/239 = [GCF of 415,468,591]/[LCM of 992,878,239]= 1/104081632
Therefore, the GCF of 415/992,468/878,591/239 is 1/104081632.
To find the highest common factor of 415,468,591, we have to find the factors of both numbers and list the highest common factor.
The factors of 415 are 1, 5, 83, 415
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The factors of 591 are 1, 3, 197, 591
The HCF of 415,468,591 is 1.
Lets's calculate GCF of 415,468,591
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 415,468,591 By Matching Biggest Common Factor Method
Now, list down the factors of 415
:1,5,83,415
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Now, list down the factors of 591
:1,3,197,591
Greatest Common Factor
We found the factors 415,468,591 . The biggest common factor number is the GCF number.
So the greatest common factor 415,468,591 is 1.
Lets's calculate LCM of 992,878,239
| 2 | 992, 878, 239 |
| 496, 439, 239 |
∴ So the LCM of the given numbers is 2 x 496 x 439 x 239 = 104081632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104081632
Therefore, the GCF of Fractions 415/992,468/878,591/239 is 1/104081632
Least Common Multiple of 992,878,239 with GCF Formula
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 992,878,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,878,239) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(992,878,239) x common factors =1 x 2 = 2
LCM(992,878,239) = ( 992 × 878 × 239 ) / 2
LCM(992,878,239) = 208163264 / 2
LCM(992,878,239) = 104081632
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 415/992, 468/878, 591/239
1. What is the HCF of 415,468,591?
The HCF of 415,468,591 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 415/992, 468/878, 591/239?
Answer: GCF of Numerators as per given numbers 415/992, 468/878, 591/239 is
GCF of Numerators i.e. for 415,468,591 is 1
LCM of denominators i.e. for 992,878,239 is 104081632.
Thus, GCF of Fractions is 1/104081632.Finally, GCF of Fractions for 415/992, 468/878, 591/239 is 1/104081632.