Use our free GCF of Fractions Calculator tool to compute the GCF of 4986/638, 5067/358 i.e 9/114202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4986/638, 5067/358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4986/638,5067/358
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 4986/638,5067/358, numerators are 4986,5067
Denominators are 638,358
The GCF of 4986,5067 is 9 .
LCM of 638,358 is 114202.
The greatest common factor of 4986/638,5067/358 = [GCF of 4986,5067]/[LCM of 638,358]= 9/114202
Therefore, the GCF of 4986/638,5067/358 is 9/114202.
To find the highest common factor of 4986,5067, we have to find the factors of both numbers and list the highest common factor.
The factors of 4986 are 1, 2, 3, 6, 9, 18, 277, 554, 831, 1662, 2493, 4986
The factors of 5067 are 1, 3, 9, 563, 1689, 5067
The HCF of 4986,5067 is 9.
Lets's calculate GCF of 4986,5067
3 | 4986, 5067 |
3 | 1662, 1689 |
554, 563 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 4986
:1,2,3,6,9,18,277,554,831,1662,2493,4986
Now, list down the factors of 5067
:1,3,9,563,1689,5067
Greatest Common Factor
We found the factors 4986,5067 . The biggest common factor number is the GCF number.
So the greatest common factor 4986,5067 is 9.
Lets's calculate LCM of 638,358
2 | 638, 358 |
319, 179 |
∴ So the LCM of the given numbers is 2 x 319 x 179 = 114202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/114202
Therefore, the GCF of Fractions 4986/638,5067/358 is 9/114202
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 638,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,358) x common factors =2 x 1 = 2
LCM(638,358) = ( 638 × 358 ) / 2
LCM(638,358) = 228404 / 2
LCM(638,358) = 114202
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4986,5067?
The HCF of 4986,5067 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 4986/638, 5067/358?
Answer: GCF of Numerators as per given numbers 4986/638, 5067/358 is
GCF of Numerators i.e. for 4986,5067 is 9
LCM of denominators i.e. for 638,358 is 114202.
Thus, GCF of Fractions is 9/114202.Finally, GCF of Fractions for 4986/638, 5067/358 is 9/114202.