GCF of 9071/809, 4418/2257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9071/809, 4418/2257 i.e 47/1825913 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9071/809, 4418/2257.
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 9071/809,4418/2257?
Given fractions are 9071/809,4418/2257
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 9071/809,4418/2257, numerators are 9071,4418
Denominators are 809,2257
The GCF of 9071,4418 is 47 .
LCM of 809,2257 is 1825913.
The greatest common factor of 9071/809,4418/2257 = [GCF of 9071,4418]/[LCM of 809,2257]= 47/1825913
Therefore, the GCF of 9071/809,4418/2257 is 47/1825913.
To find the highest common factor of 9071,4418, we have to find the factors of both numbers and list the highest common factor.
The factors of 9071 are 1, 47, 193, 9071
The factors of 4418 are 1, 2, 47, 94, 2209, 4418
The HCF of 9071,4418 is 47.
Lets's calculate GCF of 9071,4418
| 47 | 9071, 4418 |
| 193, 94 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 9071,4418 By Matching Biggest Common Factor Method
Now, list down the factors of 9071
:1,47,193,9071
Now, list down the factors of 4418
:1,2,47,94,2209,4418
Greatest Common Factor
We found the factors 9071,4418 . The biggest common factor number is the GCF number.
So the greatest common factor 9071,4418 is 47.
Lets's calculate LCM of 809,2257
Given numbers has no common factors except 1. So, there LCM is their product i.e 1825913
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/1825913
Therefore, the GCF of Fractions 9071/809,4418/2257 is 47/1825913
Least Common Multiple of 809,2257 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 809,2257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,2257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,2257) x common factors =1 x 1 = 1
LCM(809,2257) = ( 809 × 2257 ) / 1
LCM(809,2257) = 1825913 / 1
LCM(809,2257) = 1825913
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FAQs on GCF of Fractions of 9071/809, 4418/2257
1. What is the HCF of 9071,4418?
The HCF of 9071,4418 is 47
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 9071/809, 4418/2257?
Answer: GCF of Numerators as per given numbers 9071/809, 4418/2257 is
GCF of Numerators i.e. for 9071,4418 is 47
LCM of denominators i.e. for 809,2257 is 1825913.
Thus, GCF of Fractions is 47/1825913.Finally, GCF of Fractions for 9071/809, 4418/2257 is 47/1825913.