Use our free GCF of Fractions Calculator tool to compute the GCF of 888/682, 141/576 i.e 3/196416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 888/682, 141/576.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 888/682,141/576
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 888/682,141/576, numerators are 888,141
Denominators are 682,576
The GCF of 888,141 is 3 .
LCM of 682,576 is 196416.
The greatest common factor of 888/682,141/576 = [GCF of 888,141]/[LCM of 682,576]= 3/196416
Therefore, the GCF of 888/682,141/576 is 3/196416.
To find the highest common factor of 888,141, we have to find the factors of both numbers and list the highest common factor.
The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
The factors of 141 are 1, 3, 47, 141
The HCF of 888,141 is 3.
Lets's calculate GCF of 888,141
3 | 888, 141 |
296, 47 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 888
:1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Now, list down the factors of 141
:1,3,47,141
Greatest Common Factor
We found the factors 888,141 . The biggest common factor number is the GCF number.
So the greatest common factor 888,141 is 3.
Lets's calculate LCM of 682,576
2 | 682, 576 |
341, 288 |
∴ So the LCM of the given numbers is 2 x 341 x 288 = 196416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/196416
Therefore, the GCF of Fractions 888/682,141/576 is 3/196416
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 682,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,576) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,576) x common factors =2 x 1 = 2
LCM(682,576) = ( 682 × 576 ) / 2
LCM(682,576) = 392832 / 2
LCM(682,576) = 196416
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 888,141?
The HCF of 888,141 is 3
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 888/682, 141/576?
Answer: GCF of Numerators as per given numbers 888/682, 141/576 is
GCF of Numerators i.e. for 888,141 is 3
LCM of denominators i.e. for 682,576 is 196416.
Thus, GCF of Fractions is 3/196416.Finally, GCF of Fractions for 888/682, 141/576 is 3/196416.