GCF of 6573/568, 7857/3905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6573/568, 7857/3905 i.e 3/31240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6573/568, 7857/3905.
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 6573/568,7857/3905?
Given fractions are 6573/568,7857/3905
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 6573/568,7857/3905, numerators are 6573,7857
Denominators are 568,3905
The GCF of 6573,7857 is 3 .
LCM of 568,3905 is 31240.
The greatest common factor of 6573/568,7857/3905 = [GCF of 6573,7857]/[LCM of 568,3905]= 3/31240
Therefore, the GCF of 6573/568,7857/3905 is 3/31240.
To find the highest common factor of 6573,7857, we have to find the factors of both numbers and list the highest common factor.
The factors of 6573 are 1, 3, 7, 21, 313, 939, 2191, 6573
The factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857
The HCF of 6573,7857 is 3.
Lets's calculate GCF of 6573,7857
| 3 | 6573, 7857 |
| 2191, 2619 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6573,7857 By Matching Biggest Common Factor Method
Now, list down the factors of 6573
:1,3,7,21,313,939,2191,6573
Now, list down the factors of 7857
:1,3,9,27,81,97,291,873,2619,7857
Greatest Common Factor
We found the factors 6573,7857 . The biggest common factor number is the GCF number.
So the greatest common factor 6573,7857 is 3.
Lets's calculate LCM of 568,3905
| 71 | 568, 3905 |
| 8, 55 |
∴ So the LCM of the given numbers is 71 x 8 x 55 = 31240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/31240
Therefore, the GCF of Fractions 6573/568,7857/3905 is 3/31240
Least Common Multiple of 568,3905 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 568,3905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,3905) = 71
common factors(in case of two or more numbers have common factors) = 1
GCF(568,3905) x common factors =71 x 1 = 71
LCM(568,3905) = ( 568 × 3905 ) / 71
LCM(568,3905) = 2218040 / 71
LCM(568,3905) = 31240
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FAQs on GCF of Fractions of 6573/568, 7857/3905
1. What is the HCF of 6573,7857?
The HCF of 6573,7857 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 6573/568, 7857/3905?
Answer: GCF of Numerators as per given numbers 6573/568, 7857/3905 is
GCF of Numerators i.e. for 6573,7857 is 3
LCM of denominators i.e. for 568,3905 is 31240.
Thus, GCF of Fractions is 3/31240.Finally, GCF of Fractions for 6573/568, 7857/3905 is 3/31240.