GCF of 1838/442, 6093/3260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1838/442, 6093/3260 i.e 1/720460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1838/442, 6093/3260.
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 1838/442,6093/3260?
Given fractions are 1838/442,6093/3260
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 1838/442,6093/3260, numerators are 1838,6093
Denominators are 442,3260
The GCF of 1838,6093 is 1 .
LCM of 442,3260 is 720460.
The greatest common factor of 1838/442,6093/3260 = [GCF of 1838,6093]/[LCM of 442,3260]= 1/720460
Therefore, the GCF of 1838/442,6093/3260 is 1/720460.
To find the highest common factor of 1838,6093, we have to find the factors of both numbers and list the highest common factor.
The factors of 1838 are 1, 2, 919, 1838
The factors of 6093 are 1, 3, 9, 677, 2031, 6093
The HCF of 1838,6093 is 1.
Lets's calculate GCF of 1838,6093
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1838,6093 By Matching Biggest Common Factor Method
Now, list down the factors of 1838
:1,2,919,1838
Now, list down the factors of 6093
:1,3,9,677,2031,6093
Greatest Common Factor
We found the factors 1838,6093 . The biggest common factor number is the GCF number.
So the greatest common factor 1838,6093 is 1.
Lets's calculate LCM of 442,3260
| 2 | 442, 3260 |
| 221, 1630 |
∴ So the LCM of the given numbers is 2 x 221 x 1630 = 720460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/720460
Therefore, the GCF of Fractions 1838/442,6093/3260 is 1/720460
Least Common Multiple of 442,3260 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 442,3260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,3260) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,3260) x common factors =2 x 1 = 2
LCM(442,3260) = ( 442 × 3260 ) / 2
LCM(442,3260) = 1440920 / 2
LCM(442,3260) = 720460
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FAQs on GCF of Fractions of 1838/442, 6093/3260
1. What is the HCF of 1838,6093?
The HCF of 1838,6093 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 1838/442, 6093/3260?
Answer: GCF of Numerators as per given numbers 1838/442, 6093/3260 is
GCF of Numerators i.e. for 1838,6093 is 1
LCM of denominators i.e. for 442,3260 is 720460.
Thus, GCF of Fractions is 1/720460.Finally, GCF of Fractions for 1838/442, 6093/3260 is 1/720460.