GCF of 1659/219, 9233/171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1659/219, 9233/171 i.e 7/12483 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1659/219, 9233/171.
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 1659/219,9233/171?
Given fractions are 1659/219,9233/171
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 1659/219,9233/171, numerators are 1659,9233
Denominators are 219,171
The GCF of 1659,9233 is 7 .
LCM of 219,171 is 12483.
The greatest common factor of 1659/219,9233/171 = [GCF of 1659,9233]/[LCM of 219,171]= 7/12483
Therefore, the GCF of 1659/219,9233/171 is 7/12483.
To find the highest common factor of 1659,9233, we have to find the factors of both numbers and list the highest common factor.
The factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659
The factors of 9233 are 1, 7, 1319, 9233
The HCF of 1659,9233 is 7.
Lets's calculate GCF of 1659,9233
| 7 | 1659, 9233 |
| 237, 1319 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1659,9233 By Matching Biggest Common Factor Method
Now, list down the factors of 1659
:1,3,7,21,79,237,553,1659
Now, list down the factors of 9233
:1,7,1319,9233
Greatest Common Factor
We found the factors 1659,9233 . The biggest common factor number is the GCF number.
So the greatest common factor 1659,9233 is 7.
Lets's calculate LCM of 219,171
| 3 | 219, 171 |
| 73, 57 |
∴ So the LCM of the given numbers is 3 x 73 x 57 = 12483
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/12483
Therefore, the GCF of Fractions 1659/219,9233/171 is 7/12483
Least Common Multiple of 219,171 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 219,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,171) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,171) x common factors =3 x 1 = 3
LCM(219,171) = ( 219 × 171 ) / 3
LCM(219,171) = 37449 / 3
LCM(219,171) = 12483
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FAQs on GCF of Fractions of 1659/219, 9233/171
1. What is the HCF of 1659,9233?
The HCF of 1659,9233 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 1659/219, 9233/171?
Answer: GCF of Numerators as per given numbers 1659/219, 9233/171 is
GCF of Numerators i.e. for 1659,9233 is 7
LCM of denominators i.e. for 219,171 is 12483.
Thus, GCF of Fractions is 7/12483.Finally, GCF of Fractions for 1659/219, 9233/171 is 7/12483.