Use our free GCF of Fractions Calculator tool to compute the GCF of 5574/536, 9911/8109 i.e 1/4346424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5574/536, 9911/8109.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5574/536,9911/8109
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 5574/536,9911/8109, numerators are 5574,9911
Denominators are 536,8109
The GCF of 5574,9911 is 1 .
LCM of 536,8109 is 4346424.
The greatest common factor of 5574/536,9911/8109 = [GCF of 5574,9911]/[LCM of 536,8109]= 1/4346424
Therefore, the GCF of 5574/536,9911/8109 is 1/4346424.
To find the highest common factor of 5574,9911, we have to find the factors of both numbers and list the highest common factor.
The factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574
The factors of 9911 are 1, 11, 17, 53, 187, 583, 901, 9911
The HCF of 5574,9911 is 1.
Lets's calculate GCF of 5574,9911
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5574
:1,2,3,6,929,1858,2787,5574
Now, list down the factors of 9911
:1,11,17,53,187,583,901,9911
Greatest Common Factor
We found the factors 5574,9911 . The biggest common factor number is the GCF number.
So the greatest common factor 5574,9911 is 1.
Lets's calculate LCM of 536,8109
Given numbers has no common factors except 1. So, there LCM is their product i.e 4346424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4346424
Therefore, the GCF of Fractions 5574/536,9911/8109 is 1/4346424
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 536,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,8109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,8109) x common factors =1 x 1 = 1
LCM(536,8109) = ( 536 × 8109 ) / 1
LCM(536,8109) = 4346424 / 1
LCM(536,8109) = 4346424
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5574,9911?
The HCF of 5574,9911 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 5574/536, 9911/8109?
Answer: GCF of Numerators as per given numbers 5574/536, 9911/8109 is
GCF of Numerators i.e. for 5574,9911 is 1
LCM of denominators i.e. for 536,8109 is 4346424.
Thus, GCF of Fractions is 1/4346424.Finally, GCF of Fractions for 5574/536, 9911/8109 is 1/4346424.