Use our free GCF of Fractions Calculator tool to compute the GCF of 366/790, 793/482 i.e 61/190390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 366/790, 793/482.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 366/790,793/482
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 366/790,793/482, numerators are 366,793
Denominators are 790,482
The GCF of 366,793 is 61 .
LCM of 790,482 is 190390.
The greatest common factor of 366/790,793/482 = [GCF of 366,793]/[LCM of 790,482]= 61/190390
Therefore, the GCF of 366/790,793/482 is 61/190390.
To find the highest common factor of 366,793, we have to find the factors of both numbers and list the highest common factor.
The factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366
The factors of 793 are 1, 13, 61, 793
The HCF of 366,793 is 61.
Lets's calculate GCF of 366,793
61 | 366, 793 |
6, 13 |
∴ So the GCF of the given numbers is 61 = 61
Now, list down the factors of 366
:1,2,3,6,61,122,183,366
Now, list down the factors of 793
:1,13,61,793
Greatest Common Factor
We found the factors 366,793 . The biggest common factor number is the GCF number.
So the greatest common factor 366,793 is 61.
Lets's calculate LCM of 790,482
2 | 790, 482 |
395, 241 |
∴ So the LCM of the given numbers is 2 x 395 x 241 = 190390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/190390
Therefore, the GCF of Fractions 366/790,793/482 is 61/190390
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 790,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,482) x common factors =2 x 1 = 2
LCM(790,482) = ( 790 × 482 ) / 2
LCM(790,482) = 380780 / 2
LCM(790,482) = 190390
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 366,793?
The HCF of 366,793 is 61
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 366/790, 793/482?
Answer: GCF of Numerators as per given numbers 366/790, 793/482 is
GCF of Numerators i.e. for 366,793 is 61
LCM of denominators i.e. for 790,482 is 190390.
Thus, GCF of Fractions is 61/190390.Finally, GCF of Fractions for 366/790, 793/482 is 61/190390.