GCF of 9997/612, 5717/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9997/612, 5717/789 i.e 1/160956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9997/612, 5717/789.
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 9997/612,5717/789?
Given fractions are 9997/612,5717/789
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 9997/612,5717/789, numerators are 9997,5717
Denominators are 612,789
The GCF of 9997,5717 is 1 .
LCM of 612,789 is 160956.
The greatest common factor of 9997/612,5717/789 = [GCF of 9997,5717]/[LCM of 612,789]= 1/160956
Therefore, the GCF of 9997/612,5717/789 is 1/160956.
To find the highest common factor of 9997,5717, we have to find the factors of both numbers and list the highest common factor.
The factors of 9997 are 1, 13, 769, 9997
The factors of 5717 are 1, 5717
The HCF of 9997,5717 is 1.
Lets's calculate GCF of 9997,5717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9997,5717 By Matching Biggest Common Factor Method
Now, list down the factors of 9997
:1,13,769,9997
Now, list down the factors of 5717
:1,5717
Greatest Common Factor
We found the factors 9997,5717 . The biggest common factor number is the GCF number.
So the greatest common factor 9997,5717 is 1.
Lets's calculate LCM of 612,789
| 3 | 612, 789 |
| 204, 263 |
∴ So the LCM of the given numbers is 3 x 204 x 263 = 160956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160956
Therefore, the GCF of Fractions 9997/612,5717/789 is 1/160956
Least Common Multiple of 612,789 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 612,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,789) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(612,789) x common factors =3 x 1 = 3
LCM(612,789) = ( 612 × 789 ) / 3
LCM(612,789) = 482868 / 3
LCM(612,789) = 160956
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9997/612, 5717/789
1. What is the HCF of 9997,5717?
The HCF of 9997,5717 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 9997/612, 5717/789?
Answer: GCF of Numerators as per given numbers 9997/612, 5717/789 is
GCF of Numerators i.e. for 9997,5717 is 1
LCM of denominators i.e. for 612,789 is 160956.
Thus, GCF of Fractions is 1/160956.Finally, GCF of Fractions for 9997/612, 5717/789 is 1/160956.