GCF of 3998/204, 3097/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3998/204, 3097/825 i.e 1/56100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3998/204, 3097/825.
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 3998/204,3097/825?
Given fractions are 3998/204,3097/825
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 3998/204,3097/825, numerators are 3998,3097
Denominators are 204,825
The GCF of 3998,3097 is 1 .
LCM of 204,825 is 56100.
The greatest common factor of 3998/204,3097/825 = [GCF of 3998,3097]/[LCM of 204,825]= 1/56100
Therefore, the GCF of 3998/204,3097/825 is 1/56100.
To find the highest common factor of 3998,3097, we have to find the factors of both numbers and list the highest common factor.
The factors of 3998 are 1, 2, 1999, 3998
The factors of 3097 are 1, 19, 163, 3097
The HCF of 3998,3097 is 1.
Lets's calculate GCF of 3998,3097
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3998,3097 By Matching Biggest Common Factor Method
Now, list down the factors of 3998
:1,2,1999,3998
Now, list down the factors of 3097
:1,19,163,3097
Greatest Common Factor
We found the factors 3998,3097 . The biggest common factor number is the GCF number.
So the greatest common factor 3998,3097 is 1.
Lets's calculate LCM of 204,825
| 3 | 204, 825 |
| 68, 275 |
∴ So the LCM of the given numbers is 3 x 68 x 275 = 56100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56100
Therefore, the GCF of Fractions 3998/204,3097/825 is 1/56100
Least Common Multiple of 204,825 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 204,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,825) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,825) x common factors =3 x 1 = 3
LCM(204,825) = ( 204 × 825 ) / 3
LCM(204,825) = 168300 / 3
LCM(204,825) = 56100
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FAQs on GCF of Fractions of 3998/204, 3097/825
1. What is the HCF of 3998,3097?
The HCF of 3998,3097 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 3998/204, 3097/825?
Answer: GCF of Numerators as per given numbers 3998/204, 3097/825 is
GCF of Numerators i.e. for 3998,3097 is 1
LCM of denominators i.e. for 204,825 is 56100.
Thus, GCF of Fractions is 1/56100.Finally, GCF of Fractions for 3998/204, 3097/825 is 1/56100.