Use our free GCF of Fractions Calculator tool to compute the GCF of 392/723, 833/433 i.e 49/313059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 392/723, 833/433.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 392/723,833/433
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 392/723,833/433, numerators are 392,833
Denominators are 723,433
The GCF of 392,833 is 49 .
LCM of 723,433 is 313059.
The greatest common factor of 392/723,833/433 = [GCF of 392,833]/[LCM of 723,433]= 49/313059
Therefore, the GCF of 392/723,833/433 is 49/313059.
To find the highest common factor of 392,833, we have to find the factors of both numbers and list the highest common factor.
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The factors of 833 are 1, 7, 17, 49, 119, 833
The HCF of 392,833 is 49.
Lets's calculate GCF of 392,833
7 | 392, 833 |
7 | 56, 119 |
8, 17 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Now, list down the factors of 833
:1,7,17,49,119,833
Greatest Common Factor
We found the factors 392,833 . The biggest common factor number is the GCF number.
So the greatest common factor 392,833 is 49.
Lets's calculate LCM of 723,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 313059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/313059
Therefore, the GCF of Fractions 392/723,833/433 is 49/313059
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 723,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,433) x common factors =1 x 1 = 1
LCM(723,433) = ( 723 × 433 ) / 1
LCM(723,433) = 313059 / 1
LCM(723,433) = 313059
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 392,833?
The HCF of 392,833 is 49
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 392/723, 833/433?
Answer: GCF of Numerators as per given numbers 392/723, 833/433 is
GCF of Numerators i.e. for 392,833 is 49
LCM of denominators i.e. for 723,433 is 313059.
Thus, GCF of Fractions is 49/313059.Finally, GCF of Fractions for 392/723, 833/433 is 49/313059.