Use our free GCF of Fractions Calculator tool to compute the GCF of 481/382, 714/444 i.e 1/84804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 481/382, 714/444.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 481/382,714/444
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 481/382,714/444, numerators are 481,714
Denominators are 382,444
The GCF of 481,714 is 1 .
LCM of 382,444 is 84804.
The greatest common factor of 481/382,714/444 = [GCF of 481,714]/[LCM of 382,444]= 1/84804
Therefore, the GCF of 481/382,714/444 is 1/84804.
To find the highest common factor of 481,714, we have to find the factors of both numbers and list the highest common factor.
The factors of 481 are 1, 13, 37, 481
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The HCF of 481,714 is 1.
Lets's calculate GCF of 481,714
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 481
:1,13,37,481
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 481,714 . The biggest common factor number is the GCF number.
So the greatest common factor 481,714 is 1.
Lets's calculate LCM of 382,444
2 | 382, 444 |
191, 222 |
∴ So the LCM of the given numbers is 2 x 191 x 222 = 84804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84804
Therefore, the GCF of Fractions 481/382,714/444 is 1/84804
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 382,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,444) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,444) x common factors =2 x 1 = 2
LCM(382,444) = ( 382 × 444 ) / 2
LCM(382,444) = 169608 / 2
LCM(382,444) = 84804
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 481,714?
The HCF of 481,714 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 481/382, 714/444?
Answer: GCF of Numerators as per given numbers 481/382, 714/444 is
GCF of Numerators i.e. for 481,714 is 1
LCM of denominators i.e. for 382,444 is 84804.
Thus, GCF of Fractions is 1/84804.Finally, GCF of Fractions for 481/382, 714/444 is 1/84804.