GCF of 9663/171, 3466/759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9663/171, 3466/759 i.e 1/43263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9663/171, 3466/759.
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 9663/171,3466/759?
Given fractions are 9663/171,3466/759
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 9663/171,3466/759, numerators are 9663,3466
Denominators are 171,759
The GCF of 9663,3466 is 1 .
LCM of 171,759 is 43263.
The greatest common factor of 9663/171,3466/759 = [GCF of 9663,3466]/[LCM of 171,759]= 1/43263
Therefore, the GCF of 9663/171,3466/759 is 1/43263.
To find the highest common factor of 9663,3466, we have to find the factors of both numbers and list the highest common factor.
The factors of 9663 are 1, 3, 3221, 9663
The factors of 3466 are 1, 2, 1733, 3466
The HCF of 9663,3466 is 1.
Lets's calculate GCF of 9663,3466
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9663,3466 By Matching Biggest Common Factor Method
Now, list down the factors of 9663
:1,3,3221,9663
Now, list down the factors of 3466
:1,2,1733,3466
Greatest Common Factor
We found the factors 9663,3466 . The biggest common factor number is the GCF number.
So the greatest common factor 9663,3466 is 1.
Lets's calculate LCM of 171,759
| 3 | 171, 759 |
| 57, 253 |
∴ So the LCM of the given numbers is 3 x 57 x 253 = 43263
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43263
Therefore, the GCF of Fractions 9663/171,3466/759 is 1/43263
Least Common Multiple of 171,759 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 171,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,759) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,759) x common factors =3 x 1 = 3
LCM(171,759) = ( 171 × 759 ) / 3
LCM(171,759) = 129789 / 3
LCM(171,759) = 43263
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FAQs on GCF of Fractions of 9663/171, 3466/759
1. What is the HCF of 9663,3466?
The HCF of 9663,3466 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 9663/171, 3466/759?
Answer: GCF of Numerators as per given numbers 9663/171, 3466/759 is
GCF of Numerators i.e. for 9663,3466 is 1
LCM of denominators i.e. for 171,759 is 43263.
Thus, GCF of Fractions is 1/43263.Finally, GCF of Fractions for 9663/171, 3466/759 is 1/43263.