Use our free GCF of Fractions Calculator tool to compute the GCF of 4337/100, 8483/5200 i.e 1/5200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4337/100, 8483/5200.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4337/100,8483/5200
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 4337/100,8483/5200, numerators are 4337,8483
Denominators are 100,5200
The GCF of 4337,8483 is 1 .
LCM of 100,5200 is 5200.
The greatest common factor of 4337/100,8483/5200 = [GCF of 4337,8483]/[LCM of 100,5200]= 1/5200
Therefore, the GCF of 4337/100,8483/5200 is 1/5200.
To find the highest common factor of 4337,8483, we have to find the factors of both numbers and list the highest common factor.
The factors of 4337 are 1, 4337
The factors of 8483 are 1, 17, 499, 8483
The HCF of 4337,8483 is 1.
Lets's calculate GCF of 4337,8483
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4337
:1,4337
Now, list down the factors of 8483
:1,17,499,8483
Greatest Common Factor
We found the factors 4337,8483 . The biggest common factor number is the GCF number.
So the greatest common factor 4337,8483 is 1.
Lets's calculate LCM of 100,5200
2 | 100, 5200 |
2 | 50, 2600 |
5 | 25, 1300 |
5 | 5, 260 |
1, 52 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 52 = 5200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5200
Therefore, the GCF of Fractions 4337/100,8483/5200 is 1/5200
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 100,5200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,5200) = 100
common factors(in case of two or more numbers have common factors) = 1
GCF(100,5200) x common factors =100 x 1 = 100
LCM(100,5200) = ( 100 × 5200 ) / 100
LCM(100,5200) = 520000 / 100
LCM(100,5200) = 5200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4337,8483?
The HCF of 4337,8483 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 4337/100, 8483/5200?
Answer: GCF of Numerators as per given numbers 4337/100, 8483/5200 is
GCF of Numerators i.e. for 4337,8483 is 1
LCM of denominators i.e. for 100,5200 is 5200.
Thus, GCF of Fractions is 1/5200.Finally, GCF of Fractions for 4337/100, 8483/5200 is 1/5200.