Use our free GCF of Fractions Calculator tool to compute the GCF of 5541/102, 9321/8001 i.e 3/272034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5541/102, 9321/8001.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5541/102,9321/8001
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 5541/102,9321/8001, numerators are 5541,9321
Denominators are 102,8001
The GCF of 5541,9321 is 3 .
LCM of 102,8001 is 272034.
The greatest common factor of 5541/102,9321/8001 = [GCF of 5541,9321]/[LCM of 102,8001]= 3/272034
Therefore, the GCF of 5541/102,9321/8001 is 3/272034.
To find the highest common factor of 5541,9321, we have to find the factors of both numbers and list the highest common factor.
The factors of 5541 are 1, 3, 1847, 5541
The factors of 9321 are 1, 3, 13, 39, 239, 717, 3107, 9321
The HCF of 5541,9321 is 3.
Lets's calculate GCF of 5541,9321
3 | 5541, 9321 |
1847, 3107 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 5541
:1,3,1847,5541
Now, list down the factors of 9321
:1,3,13,39,239,717,3107,9321
Greatest Common Factor
We found the factors 5541,9321 . The biggest common factor number is the GCF number.
So the greatest common factor 5541,9321 is 3.
Lets's calculate LCM of 102,8001
3 | 102, 8001 |
34, 2667 |
∴ So the LCM of the given numbers is 3 x 34 x 2667 = 272034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/272034
Therefore, the GCF of Fractions 5541/102,9321/8001 is 3/272034
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 102,8001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,8001) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(102,8001) x common factors =3 x 1 = 3
LCM(102,8001) = ( 102 × 8001 ) / 3
LCM(102,8001) = 816102 / 3
LCM(102,8001) = 272034
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5541,9321?
The HCF of 5541,9321 is 3
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 5541/102, 9321/8001?
Answer: GCF of Numerators as per given numbers 5541/102, 9321/8001 is
GCF of Numerators i.e. for 5541,9321 is 3
LCM of denominators i.e. for 102,8001 is 272034.
Thus, GCF of Fractions is 3/272034.Finally, GCF of Fractions for 5541/102, 9321/8001 is 3/272034.