Use our free GCF of Fractions Calculator tool to compute the GCF of 1225/496, 8441/7168 i.e 1/222208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1225/496, 8441/7168.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1225/496,8441/7168
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 1225/496,8441/7168, numerators are 1225,8441
Denominators are 496,7168
The GCF of 1225,8441 is 1 .
LCM of 496,7168 is 222208.
The greatest common factor of 1225/496,8441/7168 = [GCF of 1225,8441]/[LCM of 496,7168]= 1/222208
Therefore, the GCF of 1225/496,8441/7168 is 1/222208.
To find the highest common factor of 1225,8441, we have to find the factors of both numbers and list the highest common factor.
The factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225
The factors of 8441 are 1, 23, 367, 8441
The HCF of 1225,8441 is 1.
Lets's calculate GCF of 1225,8441
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1225
:1,5,7,25,35,49,175,245,1225
Now, list down the factors of 8441
:1,23,367,8441
Greatest Common Factor
We found the factors 1225,8441 . The biggest common factor number is the GCF number.
So the greatest common factor 1225,8441 is 1.
Lets's calculate LCM of 496,7168
2 | 496, 7168 |
2 | 248, 3584 |
2 | 124, 1792 |
2 | 62, 896 |
31, 448 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 448 = 222208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222208
Therefore, the GCF of Fractions 1225/496,8441/7168 is 1/222208
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 496,7168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,7168) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(496,7168) x common factors =16 x 1 = 16
LCM(496,7168) = ( 496 × 7168 ) / 16
LCM(496,7168) = 3555328 / 16
LCM(496,7168) = 222208
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1225,8441?
The HCF of 1225,8441 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 1225/496, 8441/7168?
Answer: GCF of Numerators as per given numbers 1225/496, 8441/7168 is
GCF of Numerators i.e. for 1225,8441 is 1
LCM of denominators i.e. for 496,7168 is 222208.
Thus, GCF of Fractions is 1/222208.Finally, GCF of Fractions for 1225/496, 8441/7168 is 1/222208.