GCF of 9330/567, 7909/4256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9330/567, 7909/4256 i.e 1/344736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9330/567, 7909/4256.
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 9330/567,7909/4256?
Given fractions are 9330/567,7909/4256
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 9330/567,7909/4256, numerators are 9330,7909
Denominators are 567,4256
The GCF of 9330,7909 is 1 .
LCM of 567,4256 is 344736.
The greatest common factor of 9330/567,7909/4256 = [GCF of 9330,7909]/[LCM of 567,4256]= 1/344736
Therefore, the GCF of 9330/567,7909/4256 is 1/344736.
To find the highest common factor of 9330,7909, we have to find the factors of both numbers and list the highest common factor.
The factors of 9330 are 1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330
The factors of 7909 are 1, 11, 719, 7909
The HCF of 9330,7909 is 1.
Lets's calculate GCF of 9330,7909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9330,7909 By Matching Biggest Common Factor Method
Now, list down the factors of 9330
:1,2,3,5,6,10,15,30,311,622,933,1555,1866,3110,4665,9330
Now, list down the factors of 7909
:1,11,719,7909
Greatest Common Factor
We found the factors 9330,7909 . The biggest common factor number is the GCF number.
So the greatest common factor 9330,7909 is 1.
Lets's calculate LCM of 567,4256
| 7 | 567, 4256 |
| 81, 608 |
∴ So the LCM of the given numbers is 7 x 81 x 608 = 344736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344736
Therefore, the GCF of Fractions 9330/567,7909/4256 is 1/344736
Least Common Multiple of 567,4256 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 567,4256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,4256) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(567,4256) x common factors =7 x 1 = 7
LCM(567,4256) = ( 567 × 4256 ) / 7
LCM(567,4256) = 2413152 / 7
LCM(567,4256) = 344736
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FAQs on GCF of Fractions of 9330/567, 7909/4256
1. What is the HCF of 9330,7909?
The HCF of 9330,7909 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 9330/567, 7909/4256?
Answer: GCF of Numerators as per given numbers 9330/567, 7909/4256 is
GCF of Numerators i.e. for 9330,7909 is 1
LCM of denominators i.e. for 567,4256 is 344736.
Thus, GCF of Fractions is 1/344736.Finally, GCF of Fractions for 9330/567, 7909/4256 is 1/344736.