Use our free GCF of Fractions Calculator tool to compute the GCF of 440/206, 368/552 i.e 8/56856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/206, 368/552.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 440/206,368/552
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 440/206,368/552, numerators are 440,368
Denominators are 206,552
The GCF of 440,368 is 8 .
LCM of 206,552 is 56856.
The greatest common factor of 440/206,368/552 = [GCF of 440,368]/[LCM of 206,552]= 8/56856
Therefore, the GCF of 440/206,368/552 is 8/56856.
To find the highest common factor of 440,368, we have to find the factors of both numbers and list the highest common factor.
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The HCF of 440,368 is 8.
Lets's calculate GCF of 440,368
2 | 440, 368 |
2 | 220, 184 |
2 | 110, 92 |
55, 46 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 440,368 . The biggest common factor number is the GCF number.
So the greatest common factor 440,368 is 8.
Lets's calculate LCM of 206,552
2 | 206, 552 |
103, 276 |
∴ So the LCM of the given numbers is 2 x 103 x 276 = 56856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/56856
Therefore, the GCF of Fractions 440/206,368/552 is 8/56856
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 206,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,552) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,552) x common factors =2 x 1 = 2
LCM(206,552) = ( 206 × 552 ) / 2
LCM(206,552) = 113712 / 2
LCM(206,552) = 56856
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 440,368?
The HCF of 440,368 is 8
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 440/206, 368/552?
Answer: GCF of Numerators as per given numbers 440/206, 368/552 is
GCF of Numerators i.e. for 440,368 is 8
LCM of denominators i.e. for 206,552 is 56856.
Thus, GCF of Fractions is 8/56856.Finally, GCF of Fractions for 440/206, 368/552 is 8/56856.