GCF of 9871/734, 8665/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9871/734, 8665/584 i.e 1/214328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9871/734, 8665/584.
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 9871/734,8665/584?
Given fractions are 9871/734,8665/584
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 9871/734,8665/584, numerators are 9871,8665
Denominators are 734,584
The GCF of 9871,8665 is 1 .
LCM of 734,584 is 214328.
The greatest common factor of 9871/734,8665/584 = [GCF of 9871,8665]/[LCM of 734,584]= 1/214328
Therefore, the GCF of 9871/734,8665/584 is 1/214328.
To find the highest common factor of 9871,8665, we have to find the factors of both numbers and list the highest common factor.
The factors of 9871 are 1, 9871
The factors of 8665 are 1, 5, 1733, 8665
The HCF of 9871,8665 is 1.
Lets's calculate GCF of 9871,8665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9871,8665 By Matching Biggest Common Factor Method
Now, list down the factors of 9871
:1,9871
Now, list down the factors of 8665
:1,5,1733,8665
Greatest Common Factor
We found the factors 9871,8665 . The biggest common factor number is the GCF number.
So the greatest common factor 9871,8665 is 1.
Lets's calculate LCM of 734,584
| 2 | 734, 584 |
| 367, 292 |
∴ So the LCM of the given numbers is 2 x 367 x 292 = 214328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214328
Therefore, the GCF of Fractions 9871/734,8665/584 is 1/214328
Least Common Multiple of 734,584 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 734,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,584) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,584) x common factors =2 x 1 = 2
LCM(734,584) = ( 734 × 584 ) / 2
LCM(734,584) = 428656 / 2
LCM(734,584) = 214328
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FAQs on GCF of Fractions of 9871/734, 8665/584
1. What is the HCF of 9871,8665?
The HCF of 9871,8665 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 9871/734, 8665/584?
Answer: GCF of Numerators as per given numbers 9871/734, 8665/584 is
GCF of Numerators i.e. for 9871,8665 is 1
LCM of denominators i.e. for 734,584 is 214328.
Thus, GCF of Fractions is 1/214328.Finally, GCF of Fractions for 9871/734, 8665/584 is 1/214328.