GCF of 6559/813, 8631/5790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6559/813, 8631/5790 i.e 7/1569090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6559/813, 8631/5790.
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 6559/813,8631/5790?
Given fractions are 6559/813,8631/5790
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 6559/813,8631/5790, numerators are 6559,8631
Denominators are 813,5790
The GCF of 6559,8631 is 7 .
LCM of 813,5790 is 1569090.
The greatest common factor of 6559/813,8631/5790 = [GCF of 6559,8631]/[LCM of 813,5790]= 7/1569090
Therefore, the GCF of 6559/813,8631/5790 is 7/1569090.
To find the highest common factor of 6559,8631, we have to find the factors of both numbers and list the highest common factor.
The factors of 6559 are 1, 7, 937, 6559
The factors of 8631 are 1, 3, 7, 9, 21, 63, 137, 411, 959, 1233, 2877, 8631
The HCF of 6559,8631 is 7.
Lets's calculate GCF of 6559,8631
| 7 | 6559, 8631 |
| 937, 1233 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6559,8631 By Matching Biggest Common Factor Method
Now, list down the factors of 6559
:1,7,937,6559
Now, list down the factors of 8631
:1,3,7,9,21,63,137,411,959,1233,2877,8631
Greatest Common Factor
We found the factors 6559,8631 . The biggest common factor number is the GCF number.
So the greatest common factor 6559,8631 is 7.
Lets's calculate LCM of 813,5790
| 3 | 813, 5790 |
| 271, 1930 |
∴ So the LCM of the given numbers is 3 x 271 x 1930 = 1569090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1569090
Therefore, the GCF of Fractions 6559/813,8631/5790 is 7/1569090
Least Common Multiple of 813,5790 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 813,5790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,5790) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(813,5790) x common factors =3 x 1 = 3
LCM(813,5790) = ( 813 × 5790 ) / 3
LCM(813,5790) = 4707270 / 3
LCM(813,5790) = 1569090
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6559/813, 8631/5790
1. What is the HCF of 6559,8631?
The HCF of 6559,8631 is 7
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 6559/813, 8631/5790?
Answer: GCF of Numerators as per given numbers 6559/813, 8631/5790 is
GCF of Numerators i.e. for 6559,8631 is 7
LCM of denominators i.e. for 813,5790 is 1569090.
Thus, GCF of Fractions is 7/1569090.Finally, GCF of Fractions for 6559/813, 8631/5790 is 7/1569090.