GCF of 9681/504, 8355/587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9681/504, 8355/587 i.e 3/295848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9681/504, 8355/587.
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 9681/504,8355/587?
Given fractions are 9681/504,8355/587
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 9681/504,8355/587, numerators are 9681,8355
Denominators are 504,587
The GCF of 9681,8355 is 3 .
LCM of 504,587 is 295848.
The greatest common factor of 9681/504,8355/587 = [GCF of 9681,8355]/[LCM of 504,587]= 3/295848
Therefore, the GCF of 9681/504,8355/587 is 3/295848.
To find the highest common factor of 9681,8355, we have to find the factors of both numbers and list the highest common factor.
The factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681
The factors of 8355 are 1, 3, 5, 15, 557, 1671, 2785, 8355
The HCF of 9681,8355 is 3.
Lets's calculate GCF of 9681,8355
| 3 | 9681, 8355 |
| 3227, 2785 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9681,8355 By Matching Biggest Common Factor Method
Now, list down the factors of 9681
:1,3,7,21,461,1383,3227,9681
Now, list down the factors of 8355
:1,3,5,15,557,1671,2785,8355
Greatest Common Factor
We found the factors 9681,8355 . The biggest common factor number is the GCF number.
So the greatest common factor 9681,8355 is 3.
Lets's calculate LCM of 504,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 295848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/295848
Therefore, the GCF of Fractions 9681/504,8355/587 is 3/295848
Least Common Multiple of 504,587 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 504,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(504,587) x common factors =1 x 1 = 1
LCM(504,587) = ( 504 × 587 ) / 1
LCM(504,587) = 295848 / 1
LCM(504,587) = 295848
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9681/504, 8355/587
1. What is the HCF of 9681,8355?
The HCF of 9681,8355 is 3
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 9681/504, 8355/587?
Answer: GCF of Numerators as per given numbers 9681/504, 8355/587 is
GCF of Numerators i.e. for 9681,8355 is 3
LCM of denominators i.e. for 504,587 is 295848.
Thus, GCF of Fractions is 3/295848.Finally, GCF of Fractions for 9681/504, 8355/587 is 3/295848.