GCF of 5779/885, 8271/5514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5779/885, 8271/5514 i.e 1/1626630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5779/885, 8271/5514.
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 5779/885,8271/5514?
Given fractions are 5779/885,8271/5514
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 5779/885,8271/5514, numerators are 5779,8271
Denominators are 885,5514
The GCF of 5779,8271 is 1 .
LCM of 885,5514 is 1626630.
The greatest common factor of 5779/885,8271/5514 = [GCF of 5779,8271]/[LCM of 885,5514]= 1/1626630
Therefore, the GCF of 5779/885,8271/5514 is 1/1626630.
To find the highest common factor of 5779,8271, we have to find the factors of both numbers and list the highest common factor.
The factors of 5779 are 1, 5779
The factors of 8271 are 1, 3, 9, 919, 2757, 8271
The HCF of 5779,8271 is 1.
Lets's calculate GCF of 5779,8271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5779,8271 By Matching Biggest Common Factor Method
Now, list down the factors of 5779
:1,5779
Now, list down the factors of 8271
:1,3,9,919,2757,8271
Greatest Common Factor
We found the factors 5779,8271 . The biggest common factor number is the GCF number.
So the greatest common factor 5779,8271 is 1.
Lets's calculate LCM of 885,5514
| 3 | 885, 5514 |
| 295, 1838 |
∴ So the LCM of the given numbers is 3 x 295 x 1838 = 1626630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1626630
Therefore, the GCF of Fractions 5779/885,8271/5514 is 1/1626630
Least Common Multiple of 885,5514 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 885,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,5514) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(885,5514) x common factors =3 x 1 = 3
LCM(885,5514) = ( 885 × 5514 ) / 3
LCM(885,5514) = 4879890 / 3
LCM(885,5514) = 1626630
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FAQs on GCF of Fractions of 5779/885, 8271/5514
1. What is the HCF of 5779,8271?
The HCF of 5779,8271 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 5779/885, 8271/5514?
Answer: GCF of Numerators as per given numbers 5779/885, 8271/5514 is
GCF of Numerators i.e. for 5779,8271 is 1
LCM of denominators i.e. for 885,5514 is 1626630.
Thus, GCF of Fractions is 1/1626630.Finally, GCF of Fractions for 5779/885, 8271/5514 is 1/1626630.