GCF of 8197/406, 3298/9682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8197/406, 3298/9682 i.e 1/1965446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8197/406, 3298/9682.
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 8197/406,3298/9682?
Given fractions are 8197/406,3298/9682
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 8197/406,3298/9682, numerators are 8197,3298
Denominators are 406,9682
The GCF of 8197,3298 is 1 .
LCM of 406,9682 is 1965446.
The greatest common factor of 8197/406,3298/9682 = [GCF of 8197,3298]/[LCM of 406,9682]= 1/1965446
Therefore, the GCF of 8197/406,3298/9682 is 1/1965446.
To find the highest common factor of 8197,3298, we have to find the factors of both numbers and list the highest common factor.
The factors of 8197 are 1, 7, 1171, 8197
The factors of 3298 are 1, 2, 17, 34, 97, 194, 1649, 3298
The HCF of 8197,3298 is 1.
Lets's calculate GCF of 8197,3298
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8197,3298 By Matching Biggest Common Factor Method
Now, list down the factors of 8197
:1,7,1171,8197
Now, list down the factors of 3298
:1,2,17,34,97,194,1649,3298
Greatest Common Factor
We found the factors 8197,3298 . The biggest common factor number is the GCF number.
So the greatest common factor 8197,3298 is 1.
Lets's calculate LCM of 406,9682
| 2 | 406, 9682 |
| 203, 4841 |
∴ So the LCM of the given numbers is 2 x 203 x 4841 = 1965446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1965446
Therefore, the GCF of Fractions 8197/406,3298/9682 is 1/1965446
Least Common Multiple of 406,9682 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 406,9682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,9682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,9682) x common factors =2 x 1 = 2
LCM(406,9682) = ( 406 × 9682 ) / 2
LCM(406,9682) = 3930892 / 2
LCM(406,9682) = 1965446
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8197/406, 3298/9682
1. What is the HCF of 8197,3298?
The HCF of 8197,3298 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 8197/406, 3298/9682?
Answer: GCF of Numerators as per given numbers 8197/406, 3298/9682 is
GCF of Numerators i.e. for 8197,3298 is 1
LCM of denominators i.e. for 406,9682 is 1965446.
Thus, GCF of Fractions is 1/1965446.Finally, GCF of Fractions for 8197/406, 3298/9682 is 1/1965446.