GCF of 7841/543, 2325/1614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7841/543, 2325/1614 i.e 1/292134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7841/543, 2325/1614.
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 7841/543,2325/1614?
Given fractions are 7841/543,2325/1614
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 7841/543,2325/1614, numerators are 7841,2325
Denominators are 543,1614
The GCF of 7841,2325 is 1 .
LCM of 543,1614 is 292134.
The greatest common factor of 7841/543,2325/1614 = [GCF of 7841,2325]/[LCM of 543,1614]= 1/292134
Therefore, the GCF of 7841/543,2325/1614 is 1/292134.
To find the highest common factor of 7841,2325, we have to find the factors of both numbers and list the highest common factor.
The factors of 7841 are 1, 7841
The factors of 2325 are 1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325
The HCF of 7841,2325 is 1.
Lets's calculate GCF of 7841,2325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7841,2325 By Matching Biggest Common Factor Method
Now, list down the factors of 7841
:1,7841
Now, list down the factors of 2325
:1,3,5,15,25,31,75,93,155,465,775,2325
Greatest Common Factor
We found the factors 7841,2325 . The biggest common factor number is the GCF number.
So the greatest common factor 7841,2325 is 1.
Lets's calculate LCM of 543,1614
| 3 | 543, 1614 |
| 181, 538 |
∴ So the LCM of the given numbers is 3 x 181 x 538 = 292134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292134
Therefore, the GCF of Fractions 7841/543,2325/1614 is 1/292134
Least Common Multiple of 543,1614 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 543,1614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,1614) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(543,1614) x common factors =3 x 1 = 3
LCM(543,1614) = ( 543 × 1614 ) / 3
LCM(543,1614) = 876402 / 3
LCM(543,1614) = 292134
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FAQs on GCF of Fractions of 7841/543, 2325/1614
1. What is the HCF of 7841,2325?
The HCF of 7841,2325 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 7841/543, 2325/1614?
Answer: GCF of Numerators as per given numbers 7841/543, 2325/1614 is
GCF of Numerators i.e. for 7841,2325 is 1
LCM of denominators i.e. for 543,1614 is 292134.
Thus, GCF of Fractions is 1/292134.Finally, GCF of Fractions for 7841/543, 2325/1614 is 1/292134.