GCF of 4071/297, 4686/2255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4071/297, 4686/2255 i.e 3/60885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4071/297, 4686/2255.
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 4071/297,4686/2255?
Given fractions are 4071/297,4686/2255
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 4071/297,4686/2255, numerators are 4071,4686
Denominators are 297,2255
The GCF of 4071,4686 is 3 .
LCM of 297,2255 is 60885.
The greatest common factor of 4071/297,4686/2255 = [GCF of 4071,4686]/[LCM of 297,2255]= 3/60885
Therefore, the GCF of 4071/297,4686/2255 is 3/60885.
To find the highest common factor of 4071,4686, we have to find the factors of both numbers and list the highest common factor.
The factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071
The factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686
The HCF of 4071,4686 is 3.
Lets's calculate GCF of 4071,4686
| 3 | 4071, 4686 |
| 1357, 1562 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4071,4686 By Matching Biggest Common Factor Method
Now, list down the factors of 4071
:1,3,23,59,69,177,1357,4071
Now, list down the factors of 4686
:1,2,3,6,11,22,33,66,71,142,213,426,781,1562,2343,4686
Greatest Common Factor
We found the factors 4071,4686 . The biggest common factor number is the GCF number.
So the greatest common factor 4071,4686 is 3.
Lets's calculate LCM of 297,2255
| 11 | 297, 2255 |
| 27, 205 |
∴ So the LCM of the given numbers is 11 x 27 x 205 = 60885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60885
Therefore, the GCF of Fractions 4071/297,4686/2255 is 3/60885
Least Common Multiple of 297,2255 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 297,2255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,2255) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(297,2255) x common factors =11 x 1 = 11
LCM(297,2255) = ( 297 × 2255 ) / 11
LCM(297,2255) = 669735 / 11
LCM(297,2255) = 60885
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FAQs on GCF of Fractions of 4071/297, 4686/2255
1. What is the HCF of 4071,4686?
The HCF of 4071,4686 is 3
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 4071/297, 4686/2255?
Answer: GCF of Numerators as per given numbers 4071/297, 4686/2255 is
GCF of Numerators i.e. for 4071,4686 is 3
LCM of denominators i.e. for 297,2255 is 60885.
Thus, GCF of Fractions is 3/60885.Finally, GCF of Fractions for 4071/297, 4686/2255 is 3/60885.