Use our free GCF of Fractions Calculator tool to compute the GCF of 6576/850, 2697/9651 i.e 3/8203350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6576/850, 2697/9651.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6576/850,2697/9651
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 6576/850,2697/9651, numerators are 6576,2697
Denominators are 850,9651
The GCF of 6576,2697 is 3 .
LCM of 850,9651 is 8203350.
The greatest common factor of 6576/850,2697/9651 = [GCF of 6576,2697]/[LCM of 850,9651]= 3/8203350
Therefore, the GCF of 6576/850,2697/9651 is 3/8203350.
To find the highest common factor of 6576,2697, we have to find the factors of both numbers and list the highest common factor.
The factors of 6576 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 6576
The factors of 2697 are 1, 3, 29, 31, 87, 93, 899, 2697
The HCF of 6576,2697 is 3.
Lets's calculate GCF of 6576,2697
3 | 6576, 2697 |
2192, 899 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 6576
:1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576
Now, list down the factors of 2697
:1,3,29,31,87,93,899,2697
Greatest Common Factor
We found the factors 6576,2697 . The biggest common factor number is the GCF number.
So the greatest common factor 6576,2697 is 3.
Lets's calculate LCM of 850,9651
Given numbers has no common factors except 1. So, there LCM is their product i.e 8203350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8203350
Therefore, the GCF of Fractions 6576/850,2697/9651 is 3/8203350
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 850,9651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,9651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(850,9651) x common factors =1 x 1 = 1
LCM(850,9651) = ( 850 × 9651 ) / 1
LCM(850,9651) = 8203350 / 1
LCM(850,9651) = 8203350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6576,2697?
The HCF of 6576,2697 is 3
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 6576/850, 2697/9651?
Answer: GCF of Numerators as per given numbers 6576/850, 2697/9651 is
GCF of Numerators i.e. for 6576,2697 is 3
LCM of denominators i.e. for 850,9651 is 8203350.
Thus, GCF of Fractions is 3/8203350.Finally, GCF of Fractions for 6576/850, 2697/9651 is 3/8203350.