GCF of 5241/618, 9584/1833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5241/618, 9584/1833 i.e 1/377598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5241/618, 9584/1833.
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 5241/618,9584/1833?
Given fractions are 5241/618,9584/1833
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 5241/618,9584/1833, numerators are 5241,9584
Denominators are 618,1833
The GCF of 5241,9584 is 1 .
LCM of 618,1833 is 377598.
The greatest common factor of 5241/618,9584/1833 = [GCF of 5241,9584]/[LCM of 618,1833]= 1/377598
Therefore, the GCF of 5241/618,9584/1833 is 1/377598.
To find the highest common factor of 5241,9584, we have to find the factors of both numbers and list the highest common factor.
The factors of 5241 are 1, 3, 1747, 5241
The factors of 9584 are 1, 2, 4, 8, 16, 599, 1198, 2396, 4792, 9584
The HCF of 5241,9584 is 1.
Lets's calculate GCF of 5241,9584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5241,9584 By Matching Biggest Common Factor Method
Now, list down the factors of 5241
:1,3,1747,5241
Now, list down the factors of 9584
:1,2,4,8,16,599,1198,2396,4792,9584
Greatest Common Factor
We found the factors 5241,9584 . The biggest common factor number is the GCF number.
So the greatest common factor 5241,9584 is 1.
Lets's calculate LCM of 618,1833
| 3 | 618, 1833 |
| 206, 611 |
∴ So the LCM of the given numbers is 3 x 206 x 611 = 377598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377598
Therefore, the GCF of Fractions 5241/618,9584/1833 is 1/377598
Least Common Multiple of 618,1833 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 618,1833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,1833) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(618,1833) x common factors =3 x 1 = 3
LCM(618,1833) = ( 618 × 1833 ) / 3
LCM(618,1833) = 1132794 / 3
LCM(618,1833) = 377598
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FAQs on GCF of Fractions of 5241/618, 9584/1833
1. What is the HCF of 5241,9584?
The HCF of 5241,9584 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 5241/618, 9584/1833?
Answer: GCF of Numerators as per given numbers 5241/618, 9584/1833 is
GCF of Numerators i.e. for 5241,9584 is 1
LCM of denominators i.e. for 618,1833 is 377598.
Thus, GCF of Fractions is 1/377598.Finally, GCF of Fractions for 5241/618, 9584/1833 is 1/377598.