Use our free GCF of Fractions Calculator tool to compute the GCF of 4941/171, 2979/2209 i.e 9/377739 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4941/171, 2979/2209.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4941/171,2979/2209
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 4941/171,2979/2209, numerators are 4941,2979
Denominators are 171,2209
The GCF of 4941,2979 is 9 .
LCM of 171,2209 is 377739.
The greatest common factor of 4941/171,2979/2209 = [GCF of 4941,2979]/[LCM of 171,2209]= 9/377739
Therefore, the GCF of 4941/171,2979/2209 is 9/377739.
To find the highest common factor of 4941,2979, we have to find the factors of both numbers and list the highest common factor.
The factors of 4941 are 1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941
The factors of 2979 are 1, 3, 9, 331, 993, 2979
The HCF of 4941,2979 is 9.
Lets's calculate GCF of 4941,2979
3 | 4941, 2979 |
3 | 1647, 993 |
549, 331 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 4941
:1,3,9,27,61,81,183,549,1647,4941
Now, list down the factors of 2979
:1,3,9,331,993,2979
Greatest Common Factor
We found the factors 4941,2979 . The biggest common factor number is the GCF number.
So the greatest common factor 4941,2979 is 9.
Lets's calculate LCM of 171,2209
Given numbers has no common factors except 1. So, there LCM is their product i.e 377739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/377739
Therefore, the GCF of Fractions 4941/171,2979/2209 is 9/377739
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 171,2209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,2209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,2209) x common factors =1 x 1 = 1
LCM(171,2209) = ( 171 × 2209 ) / 1
LCM(171,2209) = 377739 / 1
LCM(171,2209) = 377739
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4941,2979?
The HCF of 4941,2979 is 9
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 4941/171, 2979/2209?
Answer: GCF of Numerators as per given numbers 4941/171, 2979/2209 is
GCF of Numerators i.e. for 4941,2979 is 9
LCM of denominators i.e. for 171,2209 is 377739.
Thus, GCF of Fractions is 9/377739.Finally, GCF of Fractions for 4941/171, 2979/2209 is 9/377739.