GCF of 3110/443, 8257/9232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3110/443, 8257/9232 i.e 1/4089776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3110/443, 8257/9232.
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 3110/443,8257/9232?
Given fractions are 3110/443,8257/9232
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 3110/443,8257/9232, numerators are 3110,8257
Denominators are 443,9232
The GCF of 3110,8257 is 1 .
LCM of 443,9232 is 4089776.
The greatest common factor of 3110/443,8257/9232 = [GCF of 3110,8257]/[LCM of 443,9232]= 1/4089776
Therefore, the GCF of 3110/443,8257/9232 is 1/4089776.
To find the highest common factor of 3110,8257, we have to find the factors of both numbers and list the highest common factor.
The factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110
The factors of 8257 are 1, 23, 359, 8257
The HCF of 3110,8257 is 1.
Lets's calculate GCF of 3110,8257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3110,8257 By Matching Biggest Common Factor Method
Now, list down the factors of 3110
:1,2,5,10,311,622,1555,3110
Now, list down the factors of 8257
:1,23,359,8257
Greatest Common Factor
We found the factors 3110,8257 . The biggest common factor number is the GCF number.
So the greatest common factor 3110,8257 is 1.
Lets's calculate LCM of 443,9232
Given numbers has no common factors except 1. So, there LCM is their product i.e 4089776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4089776
Therefore, the GCF of Fractions 3110/443,8257/9232 is 1/4089776
Least Common Multiple of 443,9232 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 443,9232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,9232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,9232) x common factors =1 x 1 = 1
LCM(443,9232) = ( 443 × 9232 ) / 1
LCM(443,9232) = 4089776 / 1
LCM(443,9232) = 4089776
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FAQs on GCF of Fractions of 3110/443, 8257/9232
1. What is the HCF of 3110,8257?
The HCF of 3110,8257 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 3110/443, 8257/9232?
Answer: GCF of Numerators as per given numbers 3110/443, 8257/9232 is
GCF of Numerators i.e. for 3110,8257 is 1
LCM of denominators i.e. for 443,9232 is 4089776.
Thus, GCF of Fractions is 1/4089776.Finally, GCF of Fractions for 3110/443, 8257/9232 is 1/4089776.