Use our free GCF of Fractions Calculator tool to compute the GCF of 4549/171, 5105/4514 i.e 1/771894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4549/171, 5105/4514.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4549/171,5105/4514
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 4549/171,5105/4514, numerators are 4549,5105
Denominators are 171,4514
The GCF of 4549,5105 is 1 .
LCM of 171,4514 is 771894.
The greatest common factor of 4549/171,5105/4514 = [GCF of 4549,5105]/[LCM of 171,4514]= 1/771894
Therefore, the GCF of 4549/171,5105/4514 is 1/771894.
To find the highest common factor of 4549,5105, we have to find the factors of both numbers and list the highest common factor.
The factors of 4549 are 1, 4549
The factors of 5105 are 1, 5, 1021, 5105
The HCF of 4549,5105 is 1.
Lets's calculate GCF of 4549,5105
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4549
:1,4549
Now, list down the factors of 5105
:1,5,1021,5105
Greatest Common Factor
We found the factors 4549,5105 . The biggest common factor number is the GCF number.
So the greatest common factor 4549,5105 is 1.
Lets's calculate LCM of 171,4514
Given numbers has no common factors except 1. So, there LCM is their product i.e 771894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/771894
Therefore, the GCF of Fractions 4549/171,5105/4514 is 1/771894
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 171,4514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,4514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,4514) x common factors =1 x 1 = 1
LCM(171,4514) = ( 171 × 4514 ) / 1
LCM(171,4514) = 771894 / 1
LCM(171,4514) = 771894
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4549,5105?
The HCF of 4549,5105 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 4549/171, 5105/4514?
Answer: GCF of Numerators as per given numbers 4549/171, 5105/4514 is
GCF of Numerators i.e. for 4549,5105 is 1
LCM of denominators i.e. for 171,4514 is 771894.
Thus, GCF of Fractions is 1/771894.Finally, GCF of Fractions for 4549/171, 5105/4514 is 1/771894.