GCF of 4641/159, 1771/9351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4641/159, 1771/9351 i.e 7/495603 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4641/159, 1771/9351.
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 4641/159,1771/9351?
Given fractions are 4641/159,1771/9351
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 4641/159,1771/9351, numerators are 4641,1771
Denominators are 159,9351
The GCF of 4641,1771 is 7 .
LCM of 159,9351 is 495603.
The greatest common factor of 4641/159,1771/9351 = [GCF of 4641,1771]/[LCM of 159,9351]= 7/495603
Therefore, the GCF of 4641/159,1771/9351 is 7/495603.
To find the highest common factor of 4641,1771, we have to find the factors of both numbers and list the highest common factor.
The factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641
The factors of 1771 are 1, 7, 11, 23, 77, 161, 253, 1771
The HCF of 4641,1771 is 7.
Lets's calculate GCF of 4641,1771
| 7 | 4641, 1771 |
| 663, 253 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4641,1771 By Matching Biggest Common Factor Method
Now, list down the factors of 4641
:1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641
Now, list down the factors of 1771
:1,7,11,23,77,161,253,1771
Greatest Common Factor
We found the factors 4641,1771 . The biggest common factor number is the GCF number.
So the greatest common factor 4641,1771 is 7.
Lets's calculate LCM of 159,9351
| 3 | 159, 9351 |
| 53, 3117 |
∴ So the LCM of the given numbers is 3 x 53 x 3117 = 495603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/495603
Therefore, the GCF of Fractions 4641/159,1771/9351 is 7/495603
Least Common Multiple of 159,9351 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 159,9351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,9351) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,9351) x common factors =3 x 1 = 3
LCM(159,9351) = ( 159 × 9351 ) / 3
LCM(159,9351) = 1486809 / 3
LCM(159,9351) = 495603
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FAQs on GCF of Fractions of 4641/159, 1771/9351
1. What is the HCF of 4641,1771?
The HCF of 4641,1771 is 7
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 4641/159, 1771/9351?
Answer: GCF of Numerators as per given numbers 4641/159, 1771/9351 is
GCF of Numerators i.e. for 4641,1771 is 7
LCM of denominators i.e. for 159,9351 is 495603.
Thus, GCF of Fractions is 7/495603.Finally, GCF of Fractions for 4641/159, 1771/9351 is 7/495603.