Use our free GCF of Fractions Calculator tool to compute the GCF of 928/284, 549/294 i.e 1/41748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/284, 549/294.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/284,549/294
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 928/284,549/294, numerators are 928,549
Denominators are 284,294
The GCF of 928,549 is 1 .
LCM of 284,294 is 41748.
The greatest common factor of 928/284,549/294 = [GCF of 928,549]/[LCM of 284,294]= 1/41748
Therefore, the GCF of 928/284,549/294 is 1/41748.
To find the highest common factor of 928,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 928,549 is 1.
Lets's calculate GCF of 928,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 928
:1,2,4,8,16,29,32,58,116,232,464,928
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 928,549 . The biggest common factor number is the GCF number.
So the greatest common factor 928,549 is 1.
Lets's calculate LCM of 284,294
2 | 284, 294 |
142, 147 |
∴ So the LCM of the given numbers is 2 x 142 x 147 = 41748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41748
Therefore, the GCF of Fractions 928/284,549/294 is 1/41748
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 284,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,294) x common factors =2 x 1 = 2
LCM(284,294) = ( 284 × 294 ) / 2
LCM(284,294) = 83496 / 2
LCM(284,294) = 41748
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 928,549?
The HCF of 928,549 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 928/284, 549/294?
Answer: GCF of Numerators as per given numbers 928/284, 549/294 is
GCF of Numerators i.e. for 928,549 is 1
LCM of denominators i.e. for 284,294 is 41748.
Thus, GCF of Fractions is 1/41748.Finally, GCF of Fractions for 928/284, 549/294 is 1/41748.