Use our free GCF of Fractions Calculator tool to compute the GCF of 5048/205, 8989/7924 i.e 1/1624420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5048/205, 8989/7924.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5048/205,8989/7924
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 5048/205,8989/7924, numerators are 5048,8989
Denominators are 205,7924
The GCF of 5048,8989 is 1 .
LCM of 205,7924 is 1624420.
The greatest common factor of 5048/205,8989/7924 = [GCF of 5048,8989]/[LCM of 205,7924]= 1/1624420
Therefore, the GCF of 5048/205,8989/7924 is 1/1624420.
To find the highest common factor of 5048,8989, we have to find the factors of both numbers and list the highest common factor.
The factors of 5048 are 1, 2, 4, 8, 631, 1262, 2524, 5048
The factors of 8989 are 1, 89, 101, 8989
The HCF of 5048,8989 is 1.
Lets's calculate GCF of 5048,8989
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5048
:1,2,4,8,631,1262,2524,5048
Now, list down the factors of 8989
:1,89,101,8989
Greatest Common Factor
We found the factors 5048,8989 . The biggest common factor number is the GCF number.
So the greatest common factor 5048,8989 is 1.
Lets's calculate LCM of 205,7924
Given numbers has no common factors except 1. So, there LCM is their product i.e 1624420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624420
Therefore, the GCF of Fractions 5048/205,8989/7924 is 1/1624420
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 205,7924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,7924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,7924) x common factors =1 x 1 = 1
LCM(205,7924) = ( 205 × 7924 ) / 1
LCM(205,7924) = 1624420 / 1
LCM(205,7924) = 1624420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5048,8989?
The HCF of 5048,8989 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 5048/205, 8989/7924?
Answer: GCF of Numerators as per given numbers 5048/205, 8989/7924 is
GCF of Numerators i.e. for 5048,8989 is 1
LCM of denominators i.e. for 205,7924 is 1624420.
Thus, GCF of Fractions is 1/1624420.Finally, GCF of Fractions for 5048/205, 8989/7924 is 1/1624420.