Use our free GCF of Fractions Calculator tool to compute the GCF of 382/807, 462/789 i.e 2/212241 easily. The following is the detailed procedure to determine the greatest common factor of fractions 382/807, 462/789.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/807,462/789
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 382/807,462/789, numerators are 382,462
Denominators are 807,789
The GCF of 382,462 is 2 .
LCM of 807,789 is 212241.
The greatest common factor of 382/807,462/789 = [GCF of 382,462]/[LCM of 807,789]= 2/212241
Therefore, the GCF of 382/807,462/789 is 2/212241.
To find the highest common factor of 382,462, we have to find the factors of both numbers and list the highest common factor.
The factors of 382 are 1, 2, 191, 382
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The HCF of 382,462 is 2.
Lets's calculate GCF of 382,462
2 | 382, 462 |
191, 231 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 382
:1,2,191,382
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 382,462 . The biggest common factor number is the GCF number.
So the greatest common factor 382,462 is 2.
Lets's calculate LCM of 807,789
3 | 807, 789 |
269, 263 |
∴ So the LCM of the given numbers is 3 x 269 x 263 = 212241
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212241
Therefore, the GCF of Fractions 382/807,462/789 is 2/212241
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 807,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,789) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(807,789) x common factors =3 x 1 = 3
LCM(807,789) = ( 807 × 789 ) / 3
LCM(807,789) = 636723 / 3
LCM(807,789) = 212241
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 382,462?
The HCF of 382,462 is 2
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 382/807, 462/789?
Answer: GCF of Numerators as per given numbers 382/807, 462/789 is
GCF of Numerators i.e. for 382,462 is 2
LCM of denominators i.e. for 807,789 is 212241.
Thus, GCF of Fractions is 2/212241.Finally, GCF of Fractions for 382/807, 462/789 is 2/212241.