GCF of 2112/275, 4741/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2112/275, 4741/413 i.e 11/113575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2112/275, 4741/413.
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 2112/275,4741/413?
Given fractions are 2112/275,4741/413
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 2112/275,4741/413, numerators are 2112,4741
Denominators are 275,413
The GCF of 2112,4741 is 11 .
LCM of 275,413 is 113575.
The greatest common factor of 2112/275,4741/413 = [GCF of 2112,4741]/[LCM of 275,413]= 11/113575
Therefore, the GCF of 2112/275,4741/413 is 11/113575.
To find the highest common factor of 2112,4741, we have to find the factors of both numbers and list the highest common factor.
The factors of 2112 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112
The factors of 4741 are 1, 11, 431, 4741
The HCF of 2112,4741 is 11.
Lets's calculate GCF of 2112,4741
| 11 | 2112, 4741 |
| 192, 431 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2112,4741 By Matching Biggest Common Factor Method
Now, list down the factors of 2112
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,132,176,192,264,352,528,704,1056,2112
Now, list down the factors of 4741
:1,11,431,4741
Greatest Common Factor
We found the factors 2112,4741 . The biggest common factor number is the GCF number.
So the greatest common factor 2112,4741 is 11.
Lets's calculate LCM of 275,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 113575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/113575
Therefore, the GCF of Fractions 2112/275,4741/413 is 11/113575
Least Common Multiple of 275,413 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 275,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(275,413) x common factors =1 x 1 = 1
LCM(275,413) = ( 275 × 413 ) / 1
LCM(275,413) = 113575 / 1
LCM(275,413) = 113575
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FAQs on GCF of Fractions of 2112/275, 4741/413
1. What is the HCF of 2112,4741?
The HCF of 2112,4741 is 11
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 2112/275, 4741/413?
Answer: GCF of Numerators as per given numbers 2112/275, 4741/413 is
GCF of Numerators i.e. for 2112,4741 is 11
LCM of denominators i.e. for 275,413 is 113575.
Thus, GCF of Fractions is 11/113575.Finally, GCF of Fractions for 2112/275, 4741/413 is 11/113575.