GCF of 8071/731, 2233/4701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8071/731, 2233/4701 i.e 7/3436431 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8071/731, 2233/4701.
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 8071/731,2233/4701?
Given fractions are 8071/731,2233/4701
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 8071/731,2233/4701, numerators are 8071,2233
Denominators are 731,4701
The GCF of 8071,2233 is 7 .
LCM of 731,4701 is 3436431.
The greatest common factor of 8071/731,2233/4701 = [GCF of 8071,2233]/[LCM of 731,4701]= 7/3436431
Therefore, the GCF of 8071/731,2233/4701 is 7/3436431.
To find the highest common factor of 8071,2233, we have to find the factors of both numbers and list the highest common factor.
The factors of 8071 are 1, 7, 1153, 8071
The factors of 2233 are 1, 7, 11, 29, 77, 203, 319, 2233
The HCF of 8071,2233 is 7.
Lets's calculate GCF of 8071,2233
| 7 | 8071, 2233 |
| 1153, 319 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8071,2233 By Matching Biggest Common Factor Method
Now, list down the factors of 8071
:1,7,1153,8071
Now, list down the factors of 2233
:1,7,11,29,77,203,319,2233
Greatest Common Factor
We found the factors 8071,2233 . The biggest common factor number is the GCF number.
So the greatest common factor 8071,2233 is 7.
Lets's calculate LCM of 731,4701
Given numbers has no common factors except 1. So, there LCM is their product i.e 3436431
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3436431
Therefore, the GCF of Fractions 8071/731,2233/4701 is 7/3436431
Least Common Multiple of 731,4701 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 731,4701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,4701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,4701) x common factors =1 x 1 = 1
LCM(731,4701) = ( 731 × 4701 ) / 1
LCM(731,4701) = 3436431 / 1
LCM(731,4701) = 3436431
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FAQs on GCF of Fractions of 8071/731, 2233/4701
1. What is the HCF of 8071,2233?
The HCF of 8071,2233 is 7
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 8071/731, 2233/4701?
Answer: GCF of Numerators as per given numbers 8071/731, 2233/4701 is
GCF of Numerators i.e. for 8071,2233 is 7
LCM of denominators i.e. for 731,4701 is 3436431.
Thus, GCF of Fractions is 7/3436431.Finally, GCF of Fractions for 8071/731, 2233/4701 is 7/3436431.