GCF of 3849/458, 6615/2422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3849/458, 6615/2422 i.e 3/554638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3849/458, 6615/2422.
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 3849/458,6615/2422?
Given fractions are 3849/458,6615/2422
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 3849/458,6615/2422, numerators are 3849,6615
Denominators are 458,2422
The GCF of 3849,6615 is 3 .
LCM of 458,2422 is 554638.
The greatest common factor of 3849/458,6615/2422 = [GCF of 3849,6615]/[LCM of 458,2422]= 3/554638
Therefore, the GCF of 3849/458,6615/2422 is 3/554638.
To find the highest common factor of 3849,6615, we have to find the factors of both numbers and list the highest common factor.
The factors of 3849 are 1, 3, 1283, 3849
The factors of 6615 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615
The HCF of 3849,6615 is 3.
Lets's calculate GCF of 3849,6615
| 3 | 3849, 6615 |
| 1283, 2205 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3849,6615 By Matching Biggest Common Factor Method
Now, list down the factors of 3849
:1,3,1283,3849
Now, list down the factors of 6615
:1,3,5,7,9,15,21,27,35,45,49,63,105,135,147,189,245,315,441,735,945,1323,2205,6615
Greatest Common Factor
We found the factors 3849,6615 . The biggest common factor number is the GCF number.
So the greatest common factor 3849,6615 is 3.
Lets's calculate LCM of 458,2422
| 2 | 458, 2422 |
| 229, 1211 |
∴ So the LCM of the given numbers is 2 x 229 x 1211 = 554638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/554638
Therefore, the GCF of Fractions 3849/458,6615/2422 is 3/554638
Least Common Multiple of 458,2422 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 458,2422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,2422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,2422) x common factors =2 x 1 = 2
LCM(458,2422) = ( 458 × 2422 ) / 2
LCM(458,2422) = 1109276 / 2
LCM(458,2422) = 554638
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FAQs on GCF of Fractions of 3849/458, 6615/2422
1. What is the HCF of 3849,6615?
The HCF of 3849,6615 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 3849/458, 6615/2422?
Answer: GCF of Numerators as per given numbers 3849/458, 6615/2422 is
GCF of Numerators i.e. for 3849,6615 is 3
LCM of denominators i.e. for 458,2422 is 554638.
Thus, GCF of Fractions is 3/554638.Finally, GCF of Fractions for 3849/458, 6615/2422 is 3/554638.