GCF of 9326/582, 2905/2377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9326/582, 2905/2377 i.e 1/1383414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9326/582, 2905/2377.
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 9326/582,2905/2377?
Given fractions are 9326/582,2905/2377
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 9326/582,2905/2377, numerators are 9326,2905
Denominators are 582,2377
The GCF of 9326,2905 is 1 .
LCM of 582,2377 is 1383414.
The greatest common factor of 9326/582,2905/2377 = [GCF of 9326,2905]/[LCM of 582,2377]= 1/1383414
Therefore, the GCF of 9326/582,2905/2377 is 1/1383414.
To find the highest common factor of 9326,2905, we have to find the factors of both numbers and list the highest common factor.
The factors of 9326 are 1, 2, 4663, 9326
The factors of 2905 are 1, 5, 7, 35, 83, 415, 581, 2905
The HCF of 9326,2905 is 1.
Lets's calculate GCF of 9326,2905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9326,2905 By Matching Biggest Common Factor Method
Now, list down the factors of 9326
:1,2,4663,9326
Now, list down the factors of 2905
:1,5,7,35,83,415,581,2905
Greatest Common Factor
We found the factors 9326,2905 . The biggest common factor number is the GCF number.
So the greatest common factor 9326,2905 is 1.
Lets's calculate LCM of 582,2377
Given numbers has no common factors except 1. So, there LCM is their product i.e 1383414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1383414
Therefore, the GCF of Fractions 9326/582,2905/2377 is 1/1383414
Least Common Multiple of 582,2377 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 582,2377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,2377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,2377) x common factors =1 x 1 = 1
LCM(582,2377) = ( 582 × 2377 ) / 1
LCM(582,2377) = 1383414 / 1
LCM(582,2377) = 1383414
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FAQs on GCF of Fractions of 9326/582, 2905/2377
1. What is the HCF of 9326,2905?
The HCF of 9326,2905 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 9326/582, 2905/2377?
Answer: GCF of Numerators as per given numbers 9326/582, 2905/2377 is
GCF of Numerators i.e. for 9326,2905 is 1
LCM of denominators i.e. for 582,2377 is 1383414.
Thus, GCF of Fractions is 1/1383414.Finally, GCF of Fractions for 9326/582, 2905/2377 is 1/1383414.