GCF of 8299/778, 9131/1514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8299/778, 9131/1514 i.e 1/588946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8299/778, 9131/1514.
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 8299/778,9131/1514?
Given fractions are 8299/778,9131/1514
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 8299/778,9131/1514, numerators are 8299,9131
Denominators are 778,1514
The GCF of 8299,9131 is 1 .
LCM of 778,1514 is 588946.
The greatest common factor of 8299/778,9131/1514 = [GCF of 8299,9131]/[LCM of 778,1514]= 1/588946
Therefore, the GCF of 8299/778,9131/1514 is 1/588946.
To find the highest common factor of 8299,9131, we have to find the factors of both numbers and list the highest common factor.
The factors of 8299 are 1, 43, 193, 8299
The factors of 9131 are 1, 23, 397, 9131
The HCF of 8299,9131 is 1.
Lets's calculate GCF of 8299,9131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8299,9131 By Matching Biggest Common Factor Method
Now, list down the factors of 8299
:1,43,193,8299
Now, list down the factors of 9131
:1,23,397,9131
Greatest Common Factor
We found the factors 8299,9131 . The biggest common factor number is the GCF number.
So the greatest common factor 8299,9131 is 1.
Lets's calculate LCM of 778,1514
| 2 | 778, 1514 |
| 389, 757 |
∴ So the LCM of the given numbers is 2 x 389 x 757 = 588946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/588946
Therefore, the GCF of Fractions 8299/778,9131/1514 is 1/588946
Least Common Multiple of 778,1514 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 778,1514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,1514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,1514) x common factors =2 x 1 = 2
LCM(778,1514) = ( 778 × 1514 ) / 2
LCM(778,1514) = 1177892 / 2
LCM(778,1514) = 588946
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8299/778, 9131/1514
1. What is the HCF of 8299,9131?
The HCF of 8299,9131 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 8299/778, 9131/1514?
Answer: GCF of Numerators as per given numbers 8299/778, 9131/1514 is
GCF of Numerators i.e. for 8299,9131 is 1
LCM of denominators i.e. for 778,1514 is 588946.
Thus, GCF of Fractions is 1/588946.Finally, GCF of Fractions for 8299/778, 9131/1514 is 1/588946.