GCF of 9485/561, 9233/8145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9485/561, 9233/8145 i.e 7/1523115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9485/561, 9233/8145.
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 9485/561,9233/8145?
Given fractions are 9485/561,9233/8145
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 9485/561,9233/8145, numerators are 9485,9233
Denominators are 561,8145
The GCF of 9485,9233 is 7 .
LCM of 561,8145 is 1523115.
The greatest common factor of 9485/561,9233/8145 = [GCF of 9485,9233]/[LCM of 561,8145]= 7/1523115
Therefore, the GCF of 9485/561,9233/8145 is 7/1523115.
To find the highest common factor of 9485,9233, we have to find the factors of both numbers and list the highest common factor.
The factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485
The factors of 9233 are 1, 7, 1319, 9233
The HCF of 9485,9233 is 7.
Lets's calculate GCF of 9485,9233
| 7 | 9485, 9233 |
| 1355, 1319 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9485,9233 By Matching Biggest Common Factor Method
Now, list down the factors of 9485
:1,5,7,35,271,1355,1897,9485
Now, list down the factors of 9233
:1,7,1319,9233
Greatest Common Factor
We found the factors 9485,9233 . The biggest common factor number is the GCF number.
So the greatest common factor 9485,9233 is 7.
Lets's calculate LCM of 561,8145
| 3 | 561, 8145 |
| 187, 2715 |
∴ So the LCM of the given numbers is 3 x 187 x 2715 = 1523115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1523115
Therefore, the GCF of Fractions 9485/561,9233/8145 is 7/1523115
Least Common Multiple of 561,8145 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 561,8145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,8145) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,8145) x common factors =3 x 1 = 3
LCM(561,8145) = ( 561 × 8145 ) / 3
LCM(561,8145) = 4569345 / 3
LCM(561,8145) = 1523115
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FAQs on GCF of Fractions of 9485/561, 9233/8145
1. What is the HCF of 9485,9233?
The HCF of 9485,9233 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 9485/561, 9233/8145?
Answer: GCF of Numerators as per given numbers 9485/561, 9233/8145 is
GCF of Numerators i.e. for 9485,9233 is 7
LCM of denominators i.e. for 561,8145 is 1523115.
Thus, GCF of Fractions is 7/1523115.Finally, GCF of Fractions for 9485/561, 9233/8145 is 7/1523115.