GCF of 6797/522, 2296/3764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6797/522, 2296/3764 i.e 7/982404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6797/522, 2296/3764.
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 6797/522,2296/3764?
Given fractions are 6797/522,2296/3764
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 6797/522,2296/3764, numerators are 6797,2296
Denominators are 522,3764
The GCF of 6797,2296 is 7 .
LCM of 522,3764 is 982404.
The greatest common factor of 6797/522,2296/3764 = [GCF of 6797,2296]/[LCM of 522,3764]= 7/982404
Therefore, the GCF of 6797/522,2296/3764 is 7/982404.
To find the highest common factor of 6797,2296, we have to find the factors of both numbers and list the highest common factor.
The factors of 6797 are 1, 7, 971, 6797
The factors of 2296 are 1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296
The HCF of 6797,2296 is 7.
Lets's calculate GCF of 6797,2296
| 7 | 6797, 2296 |
| 971, 328 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6797,2296 By Matching Biggest Common Factor Method
Now, list down the factors of 6797
:1,7,971,6797
Now, list down the factors of 2296
:1,2,4,7,8,14,28,41,56,82,164,287,328,574,1148,2296
Greatest Common Factor
We found the factors 6797,2296 . The biggest common factor number is the GCF number.
So the greatest common factor 6797,2296 is 7.
Lets's calculate LCM of 522,3764
| 2 | 522, 3764 |
| 261, 1882 |
∴ So the LCM of the given numbers is 2 x 261 x 1882 = 982404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/982404
Therefore, the GCF of Fractions 6797/522,2296/3764 is 7/982404
Least Common Multiple of 522,3764 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 522,3764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,3764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,3764) x common factors =2 x 1 = 2
LCM(522,3764) = ( 522 × 3764 ) / 2
LCM(522,3764) = 1964808 / 2
LCM(522,3764) = 982404
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FAQs on GCF of Fractions of 6797/522, 2296/3764
1. What is the HCF of 6797,2296?
The HCF of 6797,2296 is 7
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 6797/522, 2296/3764?
Answer: GCF of Numerators as per given numbers 6797/522, 2296/3764 is
GCF of Numerators i.e. for 6797,2296 is 7
LCM of denominators i.e. for 522,3764 is 982404.
Thus, GCF of Fractions is 7/982404.Finally, GCF of Fractions for 6797/522, 2296/3764 is 7/982404.