GCF of 6591/555, 8459/8598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6591/555, 8459/8598 i.e 1/1590630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6591/555, 8459/8598.
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 6591/555,8459/8598?
Given fractions are 6591/555,8459/8598
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 6591/555,8459/8598, numerators are 6591,8459
Denominators are 555,8598
The GCF of 6591,8459 is 1 .
LCM of 555,8598 is 1590630.
The greatest common factor of 6591/555,8459/8598 = [GCF of 6591,8459]/[LCM of 555,8598]= 1/1590630
Therefore, the GCF of 6591/555,8459/8598 is 1/1590630.
To find the highest common factor of 6591,8459, we have to find the factors of both numbers and list the highest common factor.
The factors of 6591 are 1, 3, 13, 39, 169, 507, 2197, 6591
The factors of 8459 are 1, 11, 769, 8459
The HCF of 6591,8459 is 1.
Lets's calculate GCF of 6591,8459
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6591,8459 By Matching Biggest Common Factor Method
Now, list down the factors of 6591
:1,3,13,39,169,507,2197,6591
Now, list down the factors of 8459
:1,11,769,8459
Greatest Common Factor
We found the factors 6591,8459 . The biggest common factor number is the GCF number.
So the greatest common factor 6591,8459 is 1.
Lets's calculate LCM of 555,8598
| 3 | 555, 8598 |
| 185, 2866 |
∴ So the LCM of the given numbers is 3 x 185 x 2866 = 1590630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1590630
Therefore, the GCF of Fractions 6591/555,8459/8598 is 1/1590630
Least Common Multiple of 555,8598 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 555,8598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,8598) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(555,8598) x common factors =3 x 1 = 3
LCM(555,8598) = ( 555 × 8598 ) / 3
LCM(555,8598) = 4771890 / 3
LCM(555,8598) = 1590630
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FAQs on GCF of Fractions of 6591/555, 8459/8598
1. What is the HCF of 6591,8459?
The HCF of 6591,8459 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 6591/555, 8459/8598?
Answer: GCF of Numerators as per given numbers 6591/555, 8459/8598 is
GCF of Numerators i.e. for 6591,8459 is 1
LCM of denominators i.e. for 555,8598 is 1590630.
Thus, GCF of Fractions is 1/1590630.Finally, GCF of Fractions for 6591/555, 8459/8598 is 1/1590630.