GCF of 9058/728, 2311/2238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9058/728, 2311/2238 i.e 1/814632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9058/728, 2311/2238.
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 9058/728,2311/2238?
Given fractions are 9058/728,2311/2238
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 9058/728,2311/2238, numerators are 9058,2311
Denominators are 728,2238
The GCF of 9058,2311 is 1 .
LCM of 728,2238 is 814632.
The greatest common factor of 9058/728,2311/2238 = [GCF of 9058,2311]/[LCM of 728,2238]= 1/814632
Therefore, the GCF of 9058/728,2311/2238 is 1/814632.
To find the highest common factor of 9058,2311, we have to find the factors of both numbers and list the highest common factor.
The factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058
The factors of 2311 are 1, 2311
The HCF of 9058,2311 is 1.
Lets's calculate GCF of 9058,2311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9058,2311 By Matching Biggest Common Factor Method
Now, list down the factors of 9058
:1,2,7,14,647,1294,4529,9058
Now, list down the factors of 2311
:1,2311
Greatest Common Factor
We found the factors 9058,2311 . The biggest common factor number is the GCF number.
So the greatest common factor 9058,2311 is 1.
Lets's calculate LCM of 728,2238
| 2 | 728, 2238 |
| 364, 1119 |
∴ So the LCM of the given numbers is 2 x 364 x 1119 = 814632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/814632
Therefore, the GCF of Fractions 9058/728,2311/2238 is 1/814632
Least Common Multiple of 728,2238 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 728,2238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,2238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(728,2238) x common factors =2 x 1 = 2
LCM(728,2238) = ( 728 × 2238 ) / 2
LCM(728,2238) = 1629264 / 2
LCM(728,2238) = 814632
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FAQs on GCF of Fractions of 9058/728, 2311/2238
1. What is the HCF of 9058,2311?
The HCF of 9058,2311 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 9058/728, 2311/2238?
Answer: GCF of Numerators as per given numbers 9058/728, 2311/2238 is
GCF of Numerators i.e. for 9058,2311 is 1
LCM of denominators i.e. for 728,2238 is 814632.
Thus, GCF of Fractions is 1/814632.Finally, GCF of Fractions for 9058/728, 2311/2238 is 1/814632.