GCF of 3841/406, 4558/462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3841/406, 4558/462 i.e 1/13398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3841/406, 4558/462.
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 3841/406,4558/462?
Given fractions are 3841/406,4558/462
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 3841/406,4558/462, numerators are 3841,4558
Denominators are 406,462
The GCF of 3841,4558 is 1 .
LCM of 406,462 is 13398.
The greatest common factor of 3841/406,4558/462 = [GCF of 3841,4558]/[LCM of 406,462]= 1/13398
Therefore, the GCF of 3841/406,4558/462 is 1/13398.
To find the highest common factor of 3841,4558, we have to find the factors of both numbers and list the highest common factor.
The factors of 3841 are 1, 23, 167, 3841
The factors of 4558 are 1, 2, 43, 53, 86, 106, 2279, 4558
The HCF of 3841,4558 is 1.
Lets's calculate GCF of 3841,4558
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3841,4558 By Matching Biggest Common Factor Method
Now, list down the factors of 3841
:1,23,167,3841
Now, list down the factors of 4558
:1,2,43,53,86,106,2279,4558
Greatest Common Factor
We found the factors 3841,4558 . The biggest common factor number is the GCF number.
So the greatest common factor 3841,4558 is 1.
Lets's calculate LCM of 406,462
| 2 | 406, 462 |
| 7 | 203, 231 |
| 29, 33 |
∴ So the LCM of the given numbers is 2 x 7 x 29 x 33 = 13398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13398
Therefore, the GCF of Fractions 3841/406,4558/462 is 1/13398
Least Common Multiple of 406,462 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 406,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,462) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(406,462) x common factors =14 x 1 = 14
LCM(406,462) = ( 406 × 462 ) / 14
LCM(406,462) = 187572 / 14
LCM(406,462) = 13398
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FAQs on GCF of Fractions of 3841/406, 4558/462
1. What is the HCF of 3841,4558?
The HCF of 3841,4558 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 3841/406, 4558/462?
Answer: GCF of Numerators as per given numbers 3841/406, 4558/462 is
GCF of Numerators i.e. for 3841,4558 is 1
LCM of denominators i.e. for 406,462 is 13398.
Thus, GCF of Fractions is 1/13398.Finally, GCF of Fractions for 3841/406, 4558/462 is 1/13398.