Use our free GCF of Fractions Calculator tool to compute the GCF of 352/284, 8073/7612 i.e 1/540452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 352/284, 8073/7612.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 352/284,8073/7612
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 352/284,8073/7612, numerators are 352,8073
Denominators are 284,7612
The GCF of 352,8073 is 1 .
LCM of 284,7612 is 540452.
The greatest common factor of 352/284,8073/7612 = [GCF of 352,8073]/[LCM of 284,7612]= 1/540452
Therefore, the GCF of 352/284,8073/7612 is 1/540452.
To find the highest common factor of 352,8073, we have to find the factors of both numbers and list the highest common factor.
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073
The HCF of 352,8073 is 1.
Lets's calculate GCF of 352,8073
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Now, list down the factors of 8073
:1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Greatest Common Factor
We found the factors 352,8073 . The biggest common factor number is the GCF number.
So the greatest common factor 352,8073 is 1.
Lets's calculate LCM of 284,7612
2 | 284, 7612 |
2 | 142, 3806 |
71, 1903 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 1903 = 540452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540452
Therefore, the GCF of Fractions 352/284,8073/7612 is 1/540452
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 284,7612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,7612) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,7612) x common factors =4 x 1 = 4
LCM(284,7612) = ( 284 × 7612 ) / 4
LCM(284,7612) = 2161808 / 4
LCM(284,7612) = 540452
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 352,8073?
The HCF of 352,8073 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 352/284, 8073/7612?
Answer: GCF of Numerators as per given numbers 352/284, 8073/7612 is
GCF of Numerators i.e. for 352,8073 is 1
LCM of denominators i.e. for 284,7612 is 540452.
Thus, GCF of Fractions is 1/540452.Finally, GCF of Fractions for 352/284, 8073/7612 is 1/540452.