GCF of 9641/864, 3539/9291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9641/864, 3539/9291 i.e 1/2675808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9641/864, 3539/9291.
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 9641/864,3539/9291?
Given fractions are 9641/864,3539/9291
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 9641/864,3539/9291, numerators are 9641,3539
Denominators are 864,9291
The GCF of 9641,3539 is 1 .
LCM of 864,9291 is 2675808.
The greatest common factor of 9641/864,3539/9291 = [GCF of 9641,3539]/[LCM of 864,9291]= 1/2675808
Therefore, the GCF of 9641/864,3539/9291 is 1/2675808.
To find the highest common factor of 9641,3539, we have to find the factors of both numbers and list the highest common factor.
The factors of 9641 are 1, 31, 311, 9641
The factors of 3539 are 1, 3539
The HCF of 9641,3539 is 1.
Lets's calculate GCF of 9641,3539
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9641,3539 By Matching Biggest Common Factor Method
Now, list down the factors of 9641
:1,31,311,9641
Now, list down the factors of 3539
:1,3539
Greatest Common Factor
We found the factors 9641,3539 . The biggest common factor number is the GCF number.
So the greatest common factor 9641,3539 is 1.
Lets's calculate LCM of 864,9291
| 3 | 864, 9291 |
| 288, 3097 |
∴ So the LCM of the given numbers is 3 x 288 x 3097 = 2675808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2675808
Therefore, the GCF of Fractions 9641/864,3539/9291 is 1/2675808
Least Common Multiple of 864,9291 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 864,9291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,9291) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(864,9291) x common factors =3 x 1 = 3
LCM(864,9291) = ( 864 × 9291 ) / 3
LCM(864,9291) = 8027424 / 3
LCM(864,9291) = 2675808
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FAQs on GCF of Fractions of 9641/864, 3539/9291
1. What is the HCF of 9641,3539?
The HCF of 9641,3539 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 9641/864, 3539/9291?
Answer: GCF of Numerators as per given numbers 9641/864, 3539/9291 is
GCF of Numerators i.e. for 9641,3539 is 1
LCM of denominators i.e. for 864,9291 is 2675808.
Thus, GCF of Fractions is 1/2675808.Finally, GCF of Fractions for 9641/864, 3539/9291 is 1/2675808.