Use our free GCF of Fractions Calculator tool to compute the GCF of 336/880, 444/343 i.e 12/301840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/880, 444/343.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 336/880,444/343
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 336/880,444/343, numerators are 336,444
Denominators are 880,343
The GCF of 336,444 is 12 .
LCM of 880,343 is 301840.
The greatest common factor of 336/880,444/343 = [GCF of 336,444]/[LCM of 880,343]= 12/301840
Therefore, the GCF of 336/880,444/343 is 12/301840.
To find the highest common factor of 336,444, we have to find the factors of both numbers and list the highest common factor.
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The HCF of 336,444 is 12.
Lets's calculate GCF of 336,444
2 | 336, 444 |
2 | 168, 222 |
3 | 84, 111 |
28, 37 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 336,444 . The biggest common factor number is the GCF number.
So the greatest common factor 336,444 is 12.
Lets's calculate LCM of 880,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 301840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/301840
Therefore, the GCF of Fractions 336/880,444/343 is 12/301840
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 880,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(880,343) x common factors =1 x 1 = 1
LCM(880,343) = ( 880 × 343 ) / 1
LCM(880,343) = 301840 / 1
LCM(880,343) = 301840
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 336,444?
The HCF of 336,444 is 12
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 336/880, 444/343?
Answer: GCF of Numerators as per given numbers 336/880, 444/343 is
GCF of Numerators i.e. for 336,444 is 12
LCM of denominators i.e. for 880,343 is 301840.
Thus, GCF of Fractions is 12/301840.Finally, GCF of Fractions for 336/880, 444/343 is 12/301840.