GCF of 9116/729, 9641/1569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9116/729, 9641/1569 i.e 1/381267 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9116/729, 9641/1569.
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 9116/729,9641/1569?
Given fractions are 9116/729,9641/1569
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 9116/729,9641/1569, numerators are 9116,9641
Denominators are 729,1569
The GCF of 9116,9641 is 1 .
LCM of 729,1569 is 381267.
The greatest common factor of 9116/729,9641/1569 = [GCF of 9116,9641]/[LCM of 729,1569]= 1/381267
Therefore, the GCF of 9116/729,9641/1569 is 1/381267.
To find the highest common factor of 9116,9641, we have to find the factors of both numbers and list the highest common factor.
The factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116
The factors of 9641 are 1, 31, 311, 9641
The HCF of 9116,9641 is 1.
Lets's calculate GCF of 9116,9641
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9116,9641 By Matching Biggest Common Factor Method
Now, list down the factors of 9116
:1,2,4,43,53,86,106,172,212,2279,4558,9116
Now, list down the factors of 9641
:1,31,311,9641
Greatest Common Factor
We found the factors 9116,9641 . The biggest common factor number is the GCF number.
So the greatest common factor 9116,9641 is 1.
Lets's calculate LCM of 729,1569
| 3 | 729, 1569 |
| 243, 523 |
∴ So the LCM of the given numbers is 3 x 243 x 523 = 381267
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381267
Therefore, the GCF of Fractions 9116/729,9641/1569 is 1/381267
Least Common Multiple of 729,1569 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 729,1569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,1569) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(729,1569) x common factors =3 x 1 = 3
LCM(729,1569) = ( 729 × 1569 ) / 3
LCM(729,1569) = 1143801 / 3
LCM(729,1569) = 381267
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FAQs on GCF of Fractions of 9116/729, 9641/1569
1. What is the HCF of 9116,9641?
The HCF of 9116,9641 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 9116/729, 9641/1569?
Answer: GCF of Numerators as per given numbers 9116/729, 9641/1569 is
GCF of Numerators i.e. for 9116,9641 is 1
LCM of denominators i.e. for 729,1569 is 381267.
Thus, GCF of Fractions is 1/381267.Finally, GCF of Fractions for 9116/729, 9641/1569 is 1/381267.