Use our free GCF of Fractions Calculator tool to compute the GCF of 664/308, 549/984 i.e 1/75768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 664/308, 549/984.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 664/308,549/984
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 664/308,549/984, numerators are 664,549
Denominators are 308,984
The GCF of 664,549 is 1 .
LCM of 308,984 is 75768.
The greatest common factor of 664/308,549/984 = [GCF of 664,549]/[LCM of 308,984]= 1/75768
Therefore, the GCF of 664/308,549/984 is 1/75768.
To find the highest common factor of 664,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 664,549 is 1.
Lets's calculate GCF of 664,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 664,549 . The biggest common factor number is the GCF number.
So the greatest common factor 664,549 is 1.
Lets's calculate LCM of 308,984
2 | 308, 984 |
2 | 154, 492 |
77, 246 |
∴ So the LCM of the given numbers is 2 x 2 x 77 x 246 = 75768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75768
Therefore, the GCF of Fractions 664/308,549/984 is 1/75768
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 308,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,984) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(308,984) x common factors =4 x 1 = 4
LCM(308,984) = ( 308 × 984 ) / 4
LCM(308,984) = 303072 / 4
LCM(308,984) = 75768
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 664,549?
The HCF of 664,549 is 1
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 664/308, 549/984?
Answer: GCF of Numerators as per given numbers 664/308, 549/984 is
GCF of Numerators i.e. for 664,549 is 1
LCM of denominators i.e. for 308,984 is 75768.
Thus, GCF of Fractions is 1/75768.Finally, GCF of Fractions for 664/308, 549/984 is 1/75768.