Use our free GCF of Fractions Calculator tool to compute the GCF of 549/776, 831/780 i.e 3/151320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 549/776, 831/780.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 549/776,831/780
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 549/776,831/780, numerators are 549,831
Denominators are 776,780
The GCF of 549,831 is 3 .
LCM of 776,780 is 151320.
The greatest common factor of 549/776,831/780 = [GCF of 549,831]/[LCM of 776,780]= 3/151320
Therefore, the GCF of 549/776,831/780 is 3/151320.
To find the highest common factor of 549,831, we have to find the factors of both numbers and list the highest common factor.
The factors of 549 are 1, 3, 9, 61, 183, 549
The factors of 831 are 1, 3, 277, 831
The HCF of 549,831 is 3.
Lets's calculate GCF of 549,831
3 | 549, 831 |
183, 277 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 549
:1,3,9,61,183,549
Now, list down the factors of 831
:1,3,277,831
Greatest Common Factor
We found the factors 549,831 . The biggest common factor number is the GCF number.
So the greatest common factor 549,831 is 3.
Lets's calculate LCM of 776,780
2 | 776, 780 |
2 | 388, 390 |
194, 195 |
∴ So the LCM of the given numbers is 2 x 2 x 194 x 195 = 151320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/151320
Therefore, the GCF of Fractions 549/776,831/780 is 3/151320
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 776,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,780) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(776,780) x common factors =4 x 1 = 4
LCM(776,780) = ( 776 × 780 ) / 4
LCM(776,780) = 605280 / 4
LCM(776,780) = 151320
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 549,831?
The HCF of 549,831 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 549/776, 831/780?
Answer: GCF of Numerators as per given numbers 549/776, 831/780 is
GCF of Numerators i.e. for 549,831 is 3
LCM of denominators i.e. for 776,780 is 151320.
Thus, GCF of Fractions is 3/151320.Finally, GCF of Fractions for 549/776, 831/780 is 3/151320.