GCF of 4617/159, 3969/8253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4617/159, 3969/8253 i.e 81/437409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4617/159, 3969/8253.
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 4617/159,3969/8253?
Given fractions are 4617/159,3969/8253
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 4617/159,3969/8253, numerators are 4617,3969
Denominators are 159,8253
The GCF of 4617,3969 is 81 .
LCM of 159,8253 is 437409.
The greatest common factor of 4617/159,3969/8253 = [GCF of 4617,3969]/[LCM of 159,8253]= 81/437409
Therefore, the GCF of 4617/159,3969/8253 is 81/437409.
To find the highest common factor of 4617,3969, we have to find the factors of both numbers and list the highest common factor.
The factors of 4617 are 1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617
The factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969
The HCF of 4617,3969 is 81.
Lets's calculate GCF of 4617,3969
| 3 | 4617, 3969 |
| 3 | 1539, 1323 |
| 3 | 513, 441 |
| 3 | 171, 147 |
| 57, 49 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Greatest Common Factor of 4617,3969 By Matching Biggest Common Factor Method
Now, list down the factors of 4617
:1,3,9,19,27,57,81,171,243,513,1539,4617
Now, list down the factors of 3969
:1,3,7,9,21,27,49,63,81,147,189,441,567,1323,3969
Greatest Common Factor
We found the factors 4617,3969 . The biggest common factor number is the GCF number.
So the greatest common factor 4617,3969 is 81.
Lets's calculate LCM of 159,8253
| 3 | 159, 8253 |
| 53, 2751 |
∴ So the LCM of the given numbers is 3 x 53 x 2751 = 437409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/437409
Therefore, the GCF of Fractions 4617/159,3969/8253 is 81/437409
Least Common Multiple of 159,8253 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 159,8253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,8253) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,8253) x common factors =3 x 1 = 3
LCM(159,8253) = ( 159 × 8253 ) / 3
LCM(159,8253) = 1312227 / 3
LCM(159,8253) = 437409
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4617/159, 3969/8253
1. What is the HCF of 4617,3969?
The HCF of 4617,3969 is 81
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 4617/159, 3969/8253?
Answer: GCF of Numerators as per given numbers 4617/159, 3969/8253 is
GCF of Numerators i.e. for 4617,3969 is 81
LCM of denominators i.e. for 159,8253 is 437409.
Thus, GCF of Fractions is 81/437409.Finally, GCF of Fractions for 4617/159, 3969/8253 is 81/437409.