GCF of 6841/576, 3547/4467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6841/576, 3547/4467 i.e 1/857664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6841/576, 3547/4467.
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 6841/576,3547/4467?
Given fractions are 6841/576,3547/4467
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 6841/576,3547/4467, numerators are 6841,3547
Denominators are 576,4467
The GCF of 6841,3547 is 1 .
LCM of 576,4467 is 857664.
The greatest common factor of 6841/576,3547/4467 = [GCF of 6841,3547]/[LCM of 576,4467]= 1/857664
Therefore, the GCF of 6841/576,3547/4467 is 1/857664.
To find the highest common factor of 6841,3547, we have to find the factors of both numbers and list the highest common factor.
The factors of 6841 are 1, 6841
The factors of 3547 are 1, 3547
The HCF of 6841,3547 is 1.
Lets's calculate GCF of 6841,3547
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6841,3547 By Matching Biggest Common Factor Method
Now, list down the factors of 6841
:1,6841
Now, list down the factors of 3547
:1,3547
Greatest Common Factor
We found the factors 6841,3547 . The biggest common factor number is the GCF number.
So the greatest common factor 6841,3547 is 1.
Lets's calculate LCM of 576,4467
| 3 | 576, 4467 |
| 192, 1489 |
∴ So the LCM of the given numbers is 3 x 192 x 1489 = 857664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/857664
Therefore, the GCF of Fractions 6841/576,3547/4467 is 1/857664
Least Common Multiple of 576,4467 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 576,4467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,4467) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(576,4467) x common factors =3 x 1 = 3
LCM(576,4467) = ( 576 × 4467 ) / 3
LCM(576,4467) = 2572992 / 3
LCM(576,4467) = 857664
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FAQs on GCF of Fractions of 6841/576, 3547/4467
1. What is the HCF of 6841,3547?
The HCF of 6841,3547 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 6841/576, 3547/4467?
Answer: GCF of Numerators as per given numbers 6841/576, 3547/4467 is
GCF of Numerators i.e. for 6841,3547 is 1
LCM of denominators i.e. for 576,4467 is 857664.
Thus, GCF of Fractions is 1/857664.Finally, GCF of Fractions for 6841/576, 3547/4467 is 1/857664.