GCF of 9721/578, 9798/5876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9721/578, 9798/5876 i.e 1/1698164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9721/578, 9798/5876.
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 9721/578,9798/5876?
Given fractions are 9721/578,9798/5876
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 9721/578,9798/5876, numerators are 9721,9798
Denominators are 578,5876
The GCF of 9721,9798 is 1 .
LCM of 578,5876 is 1698164.
The greatest common factor of 9721/578,9798/5876 = [GCF of 9721,9798]/[LCM of 578,5876]= 1/1698164
Therefore, the GCF of 9721/578,9798/5876 is 1/1698164.
To find the highest common factor of 9721,9798, we have to find the factors of both numbers and list the highest common factor.
The factors of 9721 are 1, 9721
The factors of 9798 are 1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798
The HCF of 9721,9798 is 1.
Lets's calculate GCF of 9721,9798
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9721,9798 By Matching Biggest Common Factor Method
Now, list down the factors of 9721
:1,9721
Now, list down the factors of 9798
:1,2,3,6,23,46,69,71,138,142,213,426,1633,3266,4899,9798
Greatest Common Factor
We found the factors 9721,9798 . The biggest common factor number is the GCF number.
So the greatest common factor 9721,9798 is 1.
Lets's calculate LCM of 578,5876
| 2 | 578, 5876 |
| 289, 2938 |
∴ So the LCM of the given numbers is 2 x 289 x 2938 = 1698164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1698164
Therefore, the GCF of Fractions 9721/578,9798/5876 is 1/1698164
Least Common Multiple of 578,5876 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 578,5876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,5876) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,5876) x common factors =2 x 1 = 2
LCM(578,5876) = ( 578 × 5876 ) / 2
LCM(578,5876) = 3396328 / 2
LCM(578,5876) = 1698164
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FAQs on GCF of Fractions of 9721/578, 9798/5876
1. What is the HCF of 9721,9798?
The HCF of 9721,9798 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 9721/578, 9798/5876?
Answer: GCF of Numerators as per given numbers 9721/578, 9798/5876 is
GCF of Numerators i.e. for 9721,9798 is 1
LCM of denominators i.e. for 578,5876 is 1698164.
Thus, GCF of Fractions is 1/1698164.Finally, GCF of Fractions for 9721/578, 9798/5876 is 1/1698164.