GCF of 1397/204, 1838/4065
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1397/204, 1838/4065 i.e 1/276420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1397/204, 1838/4065.
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 1397/204,1838/4065?
Given fractions are 1397/204,1838/4065
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 1397/204,1838/4065, numerators are 1397,1838
Denominators are 204,4065
The GCF of 1397,1838 is 1 .
LCM of 204,4065 is 276420.
The greatest common factor of 1397/204,1838/4065 = [GCF of 1397,1838]/[LCM of 204,4065]= 1/276420
Therefore, the GCF of 1397/204,1838/4065 is 1/276420.
To find the highest common factor of 1397,1838, we have to find the factors of both numbers and list the highest common factor.
The factors of 1397 are 1, 11, 127, 1397
The factors of 1838 are 1, 2, 919, 1838
The HCF of 1397,1838 is 1.
Lets's calculate GCF of 1397,1838
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1397,1838 By Matching Biggest Common Factor Method
Now, list down the factors of 1397
:1,11,127,1397
Now, list down the factors of 1838
:1,2,919,1838
Greatest Common Factor
We found the factors 1397,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 1397,1838 is 1.
Lets's calculate LCM of 204,4065
| 3 | 204, 4065 |
| 68, 1355 |
∴ So the LCM of the given numbers is 3 x 68 x 1355 = 276420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276420
Therefore, the GCF of Fractions 1397/204,1838/4065 is 1/276420
Least Common Multiple of 204,4065 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 204,4065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,4065) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,4065) x common factors =3 x 1 = 3
LCM(204,4065) = ( 204 × 4065 ) / 3
LCM(204,4065) = 829260 / 3
LCM(204,4065) = 276420
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FAQs on GCF of Fractions of 1397/204, 1838/4065
1. What is the HCF of 1397,1838?
The HCF of 1397,1838 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 1397/204, 1838/4065?
Answer: GCF of Numerators as per given numbers 1397/204, 1838/4065 is
GCF of Numerators i.e. for 1397,1838 is 1
LCM of denominators i.e. for 204,4065 is 276420.
Thus, GCF of Fractions is 1/276420.Finally, GCF of Fractions for 1397/204, 1838/4065 is 1/276420.