Use our free GCF of Fractions Calculator tool to compute the GCF of 5530/923, 1936/352 i.e 2/324896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5530/923, 1936/352.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5530/923,1936/352
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 5530/923,1936/352, numerators are 5530,1936
Denominators are 923,352
The GCF of 5530,1936 is 2 .
LCM of 923,352 is 324896.
The greatest common factor of 5530/923,1936/352 = [GCF of 5530,1936]/[LCM of 923,352]= 2/324896
Therefore, the GCF of 5530/923,1936/352 is 2/324896.
To find the highest common factor of 5530,1936, we have to find the factors of both numbers and list the highest common factor.
The factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530
The factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936
The HCF of 5530,1936 is 2.
Lets's calculate GCF of 5530,1936
2 | 5530, 1936 |
2765, 968 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 5530
:1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Now, list down the factors of 1936
:1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936
Greatest Common Factor
We found the factors 5530,1936 . The biggest common factor number is the GCF number.
So the greatest common factor 5530,1936 is 2.
Lets's calculate LCM of 923,352
Given numbers has no common factors except 1. So, there LCM is their product i.e 324896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/324896
Therefore, the GCF of Fractions 5530/923,1936/352 is 2/324896
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 923,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,352) x common factors =1 x 1 = 1
LCM(923,352) = ( 923 × 352 ) / 1
LCM(923,352) = 324896 / 1
LCM(923,352) = 324896
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5530,1936?
The HCF of 5530,1936 is 2
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 5530/923, 1936/352?
Answer: GCF of Numerators as per given numbers 5530/923, 1936/352 is
GCF of Numerators i.e. for 5530,1936 is 2
LCM of denominators i.e. for 923,352 is 324896.
Thus, GCF of Fractions is 2/324896.Finally, GCF of Fractions for 5530/923, 1936/352 is 2/324896.