GCF of 2797/309, 3326/7680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2797/309, 3326/7680 i.e 1/791040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2797/309, 3326/7680.
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 2797/309,3326/7680?
Given fractions are 2797/309,3326/7680
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 2797/309,3326/7680, numerators are 2797,3326
Denominators are 309,7680
The GCF of 2797,3326 is 1 .
LCM of 309,7680 is 791040.
The greatest common factor of 2797/309,3326/7680 = [GCF of 2797,3326]/[LCM of 309,7680]= 1/791040
Therefore, the GCF of 2797/309,3326/7680 is 1/791040.
To find the highest common factor of 2797,3326, we have to find the factors of both numbers and list the highest common factor.
The factors of 2797 are 1, 2797
The factors of 3326 are 1, 2, 1663, 3326
The HCF of 2797,3326 is 1.
Lets's calculate GCF of 2797,3326
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2797,3326 By Matching Biggest Common Factor Method
Now, list down the factors of 2797
:1,2797
Now, list down the factors of 3326
:1,2,1663,3326
Greatest Common Factor
We found the factors 2797,3326 . The biggest common factor number is the GCF number.
So the greatest common factor 2797,3326 is 1.
Lets's calculate LCM of 309,7680
| 3 | 309, 7680 |
| 103, 2560 |
∴ So the LCM of the given numbers is 3 x 103 x 2560 = 791040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791040
Therefore, the GCF of Fractions 2797/309,3326/7680 is 1/791040
Least Common Multiple of 309,7680 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 309,7680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,7680) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,7680) x common factors =3 x 1 = 3
LCM(309,7680) = ( 309 × 7680 ) / 3
LCM(309,7680) = 2373120 / 3
LCM(309,7680) = 791040
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FAQs on GCF of Fractions of 2797/309, 3326/7680
1. What is the HCF of 2797,3326?
The HCF of 2797,3326 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 2797/309, 3326/7680?
Answer: GCF of Numerators as per given numbers 2797/309, 3326/7680 is
GCF of Numerators i.e. for 2797,3326 is 1
LCM of denominators i.e. for 309,7680 is 791040.
Thus, GCF of Fractions is 1/791040.Finally, GCF of Fractions for 2797/309, 3326/7680 is 1/791040.