Use our free GCF of Fractions Calculator tool to compute the GCF of 4690/544, 4109/6552 i.e 7/445536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4690/544, 4109/6552.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4690/544,4109/6552
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 4690/544,4109/6552, numerators are 4690,4109
Denominators are 544,6552
The GCF of 4690,4109 is 7 .
LCM of 544,6552 is 445536.
The greatest common factor of 4690/544,4109/6552 = [GCF of 4690,4109]/[LCM of 544,6552]= 7/445536
Therefore, the GCF of 4690/544,4109/6552 is 7/445536.
To find the highest common factor of 4690,4109, we have to find the factors of both numbers and list the highest common factor.
The factors of 4690 are 1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690
The factors of 4109 are 1, 7, 587, 4109
The HCF of 4690,4109 is 7.
Lets's calculate GCF of 4690,4109
7 | 4690, 4109 |
670, 587 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 4690
:1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690
Now, list down the factors of 4109
:1,7,587,4109
Greatest Common Factor
We found the factors 4690,4109 . The biggest common factor number is the GCF number.
So the greatest common factor 4690,4109 is 7.
Lets's calculate LCM of 544,6552
2 | 544, 6552 |
2 | 272, 3276 |
2 | 136, 1638 |
68, 819 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 68 x 819 = 445536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/445536
Therefore, the GCF of Fractions 4690/544,4109/6552 is 7/445536
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 544,6552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,6552) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(544,6552) x common factors =8 x 1 = 8
LCM(544,6552) = ( 544 × 6552 ) / 8
LCM(544,6552) = 3564288 / 8
LCM(544,6552) = 445536
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4690,4109?
The HCF of 4690,4109 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 4690/544, 4109/6552?
Answer: GCF of Numerators as per given numbers 4690/544, 4109/6552 is
GCF of Numerators i.e. for 4690,4109 is 7
LCM of denominators i.e. for 544,6552 is 445536.
Thus, GCF of Fractions is 7/445536.Finally, GCF of Fractions for 4690/544, 4109/6552 is 7/445536.