GCF of 825/54, 927/717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 825/54, 927/717 i.e 3/12906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 825/54, 927/717.
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 825/54,927/717?
Given fractions are 825/54,927/717
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 825/54,927/717, numerators are 825,927
Denominators are 54,717
The GCF of 825,927 is 3 .
LCM of 54,717 is 12906.
The greatest common factor of 825/54,927/717 = [GCF of 825,927]/[LCM of 54,717]= 3/12906
Therefore, the GCF of 825/54,927/717 is 3/12906.
To find the highest common factor of 825,927, we have to find the factors of both numbers and list the highest common factor.
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 825,927 is 3.
Lets's calculate GCF of 825,927
| 3 | 825, 927 |
| 275, 309 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 825,927 By Matching Biggest Common Factor Method
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 825,927 . The biggest common factor number is the GCF number.
So the greatest common factor 825,927 is 3.
Lets's calculate LCM of 54,717
| 3 | 54, 717 |
| 18, 239 |
∴ So the LCM of the given numbers is 3 x 18 x 239 = 12906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12906
Therefore, the GCF of Fractions 825/54,927/717 is 3/12906
Least Common Multiple of 54,717 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 54,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,717) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(54,717) x common factors =3 x 1 = 3
LCM(54,717) = ( 54 × 717 ) / 3
LCM(54,717) = 38718 / 3
LCM(54,717) = 12906
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 825/54, 927/717
1. What is the HCF of 825,927?
The HCF of 825,927 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 825/54, 927/717?
Answer: GCF of Numerators as per given numbers 825/54, 927/717 is
GCF of Numerators i.e. for 825,927 is 3
LCM of denominators i.e. for 54,717 is 12906.
Thus, GCF of Fractions is 3/12906.Finally, GCF of Fractions for 825/54, 927/717 is 3/12906.