GCF of 9115/183, 8226/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9115/183, 8226/488 i.e 1/1464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9115/183, 8226/488.
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 9115/183,8226/488?
Given fractions are 9115/183,8226/488
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 9115/183,8226/488, numerators are 9115,8226
Denominators are 183,488
The GCF of 9115,8226 is 1 .
LCM of 183,488 is 1464.
The greatest common factor of 9115/183,8226/488 = [GCF of 9115,8226]/[LCM of 183,488]= 1/1464
Therefore, the GCF of 9115/183,8226/488 is 1/1464.
To find the highest common factor of 9115,8226, we have to find the factors of both numbers and list the highest common factor.
The factors of 9115 are 1, 5, 1823, 9115
The factors of 8226 are 1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113, 8226
The HCF of 9115,8226 is 1.
Lets's calculate GCF of 9115,8226
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9115,8226 By Matching Biggest Common Factor Method
Now, list down the factors of 9115
:1,5,1823,9115
Now, list down the factors of 8226
:1,2,3,6,9,18,457,914,1371,2742,4113,8226
Greatest Common Factor
We found the factors 9115,8226 . The biggest common factor number is the GCF number.
So the greatest common factor 9115,8226 is 1.
Lets's calculate LCM of 183,488
| 61 | 183, 488 |
| 3, 8 |
∴ So the LCM of the given numbers is 61 x 3 x 8 = 1464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1464
Therefore, the GCF of Fractions 9115/183,8226/488 is 1/1464
Least Common Multiple of 183,488 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 183,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,488) = 61
common factors(in case of two or more numbers have common factors) = 1
GCF(183,488) x common factors =61 x 1 = 61
LCM(183,488) = ( 183 × 488 ) / 61
LCM(183,488) = 89304 / 61
LCM(183,488) = 1464
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FAQs on GCF of Fractions of 9115/183, 8226/488
1. What is the HCF of 9115,8226?
The HCF of 9115,8226 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 9115/183, 8226/488?
Answer: GCF of Numerators as per given numbers 9115/183, 8226/488 is
GCF of Numerators i.e. for 9115,8226 is 1
LCM of denominators i.e. for 183,488 is 1464.
Thus, GCF of Fractions is 1/1464.Finally, GCF of Fractions for 9115/183, 8226/488 is 1/1464.