GCF of 6799/479, 6812/6789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6799/479, 6812/6789 i.e 13/3251931 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6799/479, 6812/6789.
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 6799/479,6812/6789?
Given fractions are 6799/479,6812/6789
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 6799/479,6812/6789, numerators are 6799,6812
Denominators are 479,6789
The GCF of 6799,6812 is 13 .
LCM of 479,6789 is 3251931.
The greatest common factor of 6799/479,6812/6789 = [GCF of 6799,6812]/[LCM of 479,6789]= 13/3251931
Therefore, the GCF of 6799/479,6812/6789 is 13/3251931.
To find the highest common factor of 6799,6812, we have to find the factors of both numbers and list the highest common factor.
The factors of 6799 are 1, 13, 523, 6799
The factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812
The HCF of 6799,6812 is 13.
Lets's calculate GCF of 6799,6812
| 13 | 6799, 6812 |
| 523, 524 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6799,6812 By Matching Biggest Common Factor Method
Now, list down the factors of 6799
:1,13,523,6799
Now, list down the factors of 6812
:1,2,4,13,26,52,131,262,524,1703,3406,6812
Greatest Common Factor
We found the factors 6799,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 6799,6812 is 13.
Lets's calculate LCM of 479,6789
Given numbers has no common factors except 1. So, there LCM is their product i.e 3251931
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3251931
Therefore, the GCF of Fractions 6799/479,6812/6789 is 13/3251931
Least Common Multiple of 479,6789 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 479,6789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,6789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,6789) x common factors =1 x 1 = 1
LCM(479,6789) = ( 479 × 6789 ) / 1
LCM(479,6789) = 3251931 / 1
LCM(479,6789) = 3251931
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FAQs on GCF of Fractions of 6799/479, 6812/6789
1. What is the HCF of 6799,6812?
The HCF of 6799,6812 is 13
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 6799/479, 6812/6789?
Answer: GCF of Numerators as per given numbers 6799/479, 6812/6789 is
GCF of Numerators i.e. for 6799,6812 is 13
LCM of denominators i.e. for 479,6789 is 3251931.
Thus, GCF of Fractions is 13/3251931.Finally, GCF of Fractions for 6799/479, 6812/6789 is 13/3251931.