Use our free GCF of Fractions Calculator tool to compute the GCF of 6799/661, 7215/5257 i.e 13/3474877 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6799/661, 7215/5257.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6799/661,7215/5257
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 6799/661,7215/5257, numerators are 6799,7215
Denominators are 661,5257
The GCF of 6799,7215 is 13 .
LCM of 661,5257 is 3474877.
The greatest common factor of 6799/661,7215/5257 = [GCF of 6799,7215]/[LCM of 661,5257]= 13/3474877
Therefore, the GCF of 6799/661,7215/5257 is 13/3474877.
To find the highest common factor of 6799,7215, 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 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215
The HCF of 6799,7215 is 13.
Lets's calculate GCF of 6799,7215
13 | 6799, 7215 |
523, 555 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 6799
:1,13,523,6799
Now, list down the factors of 7215
:1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215
Greatest Common Factor
We found the factors 6799,7215 . The biggest common factor number is the GCF number.
So the greatest common factor 6799,7215 is 13.
Lets's calculate LCM of 661,5257
Given numbers has no common factors except 1. So, there LCM is their product i.e 3474877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3474877
Therefore, the GCF of Fractions 6799/661,7215/5257 is 13/3474877
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 661,5257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,5257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,5257) x common factors =1 x 1 = 1
LCM(661,5257) = ( 661 × 5257 ) / 1
LCM(661,5257) = 3474877 / 1
LCM(661,5257) = 3474877
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6799,7215?
The HCF of 6799,7215 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 6799/661, 7215/5257?
Answer: GCF of Numerators as per given numbers 6799/661, 7215/5257 is
GCF of Numerators i.e. for 6799,7215 is 13
LCM of denominators i.e. for 661,5257 is 3474877.
Thus, GCF of Fractions is 13/3474877.Finally, GCF of Fractions for 6799/661, 7215/5257 is 13/3474877.