Use our free GCF of Fractions Calculator tool to compute the GCF of 5497/525, 8665/8401 i.e 1/4410525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5497/525, 8665/8401.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5497/525,8665/8401
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 5497/525,8665/8401, numerators are 5497,8665
Denominators are 525,8401
The GCF of 5497,8665 is 1 .
LCM of 525,8401 is 4410525.
The greatest common factor of 5497/525,8665/8401 = [GCF of 5497,8665]/[LCM of 525,8401]= 1/4410525
Therefore, the GCF of 5497/525,8665/8401 is 1/4410525.
To find the highest common factor of 5497,8665, we have to find the factors of both numbers and list the highest common factor.
The factors of 5497 are 1, 23, 239, 5497
The factors of 8665 are 1, 5, 1733, 8665
The HCF of 5497,8665 is 1.
Lets's calculate GCF of 5497,8665
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5497
:1,23,239,5497
Now, list down the factors of 8665
:1,5,1733,8665
Greatest Common Factor
We found the factors 5497,8665 . The biggest common factor number is the GCF number.
So the greatest common factor 5497,8665 is 1.
Lets's calculate LCM of 525,8401
Given numbers has no common factors except 1. So, there LCM is their product i.e 4410525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4410525
Therefore, the GCF of Fractions 5497/525,8665/8401 is 1/4410525
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 525,8401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,8401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,8401) x common factors =1 x 1 = 1
LCM(525,8401) = ( 525 × 8401 ) / 1
LCM(525,8401) = 4410525 / 1
LCM(525,8401) = 4410525
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5497,8665?
The HCF of 5497,8665 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 5497/525, 8665/8401?
Answer: GCF of Numerators as per given numbers 5497/525, 8665/8401 is
GCF of Numerators i.e. for 5497,8665 is 1
LCM of denominators i.e. for 525,8401 is 4410525.
Thus, GCF of Fractions is 1/4410525.Finally, GCF of Fractions for 5497/525, 8665/8401 is 1/4410525.