GCF of 3329/771, 3365/8097
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3329/771, 3365/8097 i.e 1/2080929 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3329/771, 3365/8097.
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 3329/771,3365/8097?
Given fractions are 3329/771,3365/8097
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 3329/771,3365/8097, numerators are 3329,3365
Denominators are 771,8097
The GCF of 3329,3365 is 1 .
LCM of 771,8097 is 2080929.
The greatest common factor of 3329/771,3365/8097 = [GCF of 3329,3365]/[LCM of 771,8097]= 1/2080929
Therefore, the GCF of 3329/771,3365/8097 is 1/2080929.
To find the highest common factor of 3329,3365, we have to find the factors of both numbers and list the highest common factor.
The factors of 3329 are 1, 3329
The factors of 3365 are 1, 5, 673, 3365
The HCF of 3329,3365 is 1.
Lets's calculate GCF of 3329,3365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3329,3365 By Matching Biggest Common Factor Method
Now, list down the factors of 3329
:1,3329
Now, list down the factors of 3365
:1,5,673,3365
Greatest Common Factor
We found the factors 3329,3365 . The biggest common factor number is the GCF number.
So the greatest common factor 3329,3365 is 1.
Lets's calculate LCM of 771,8097
| 3 | 771, 8097 |
| 257, 2699 |
∴ So the LCM of the given numbers is 3 x 257 x 2699 = 2080929
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2080929
Therefore, the GCF of Fractions 3329/771,3365/8097 is 1/2080929
Least Common Multiple of 771,8097 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 771,8097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,8097) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(771,8097) x common factors =3 x 1 = 3
LCM(771,8097) = ( 771 × 8097 ) / 3
LCM(771,8097) = 6242787 / 3
LCM(771,8097) = 2080929
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FAQs on GCF of Fractions of 3329/771, 3365/8097
1. What is the HCF of 3329,3365?
The HCF of 3329,3365 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 3329/771, 3365/8097?
Answer: GCF of Numerators as per given numbers 3329/771, 3365/8097 is
GCF of Numerators i.e. for 3329,3365 is 1
LCM of denominators i.e. for 771,8097 is 2080929.
Thus, GCF of Fractions is 1/2080929.Finally, GCF of Fractions for 3329/771, 3365/8097 is 1/2080929.