Use our free GCF of Fractions Calculator tool to compute the GCF of 488/196, 396/206 i.e 4/20188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/196, 396/206.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 488/196,396/206
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 488/196,396/206, numerators are 488,396
Denominators are 196,206
The GCF of 488,396 is 4 .
LCM of 196,206 is 20188.
The greatest common factor of 488/196,396/206 = [GCF of 488,396]/[LCM of 196,206]= 4/20188
Therefore, the GCF of 488/196,396/206 is 4/20188.
To find the highest common factor of 488,396, we have to find the factors of both numbers and list the highest common factor.
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
The HCF of 488,396 is 4.
Lets's calculate GCF of 488,396
2 | 488, 396 |
2 | 244, 198 |
122, 99 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Now, list down the factors of 396
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 488,396 . The biggest common factor number is the GCF number.
So the greatest common factor 488,396 is 4.
Lets's calculate LCM of 196,206
2 | 196, 206 |
98, 103 |
∴ So the LCM of the given numbers is 2 x 98 x 103 = 20188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/20188
Therefore, the GCF of Fractions 488/196,396/206 is 4/20188
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 196,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(196,206) x common factors =2 x 1 = 2
LCM(196,206) = ( 196 × 206 ) / 2
LCM(196,206) = 40376 / 2
LCM(196,206) = 20188
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 488,396?
The HCF of 488,396 is 4
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 488/196, 396/206?
Answer: GCF of Numerators as per given numbers 488/196, 396/206 is
GCF of Numerators i.e. for 488,396 is 4
LCM of denominators i.e. for 196,206 is 20188.
Thus, GCF of Fractions is 4/20188.Finally, GCF of Fractions for 488/196, 396/206 is 4/20188.