Use our free GCF of Fractions Calculator tool to compute the GCF of 28/421, 819/574, 231/202 i.e 7/24407054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/421, 819/574, 231/202.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/421,819/574,231/202
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 28/421,819/574,231/202, numerators are 28,819,231
Denominators are 421,574,202
The GCF of 28,819,231 is 7 .
LCM of 421,574,202 is 24407054.
The greatest common factor of 28/421,819/574,231/202 = [GCF of 28,819,231]/[LCM of 421,574,202]= 7/24407054
Therefore, the GCF of 28/421,819/574,231/202 is 7/24407054.
To find the highest common factor of 28,819,231, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The HCF of 28,819,231 is 7.
Lets's calculate GCF of 28,819,231
7 | 28, 819, 231 |
4, 117, 33 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 28,819,231 . The biggest common factor number is the GCF number.
So the greatest common factor 28,819,231 is 7.
Lets's calculate LCM of 421,574,202
2 | 421, 574, 202 |
421, 287, 101 |
∴ So the LCM of the given numbers is 2 x 421 x 287 x 101 = 24407054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/24407054
Therefore, the GCF of Fractions 28/421,819/574,231/202 is 7/24407054
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 421,574,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,574,202) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(421,574,202) x common factors =1 x 2 = 2
LCM(421,574,202) = ( 421 × 574 × 202 ) / 2
LCM(421,574,202) = 48814108 / 2
LCM(421,574,202) = 24407054
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,819,231?
The HCF of 28,819,231 is 7
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 28/421, 819/574, 231/202?
Answer: GCF of Numerators as per given numbers 28/421, 819/574, 231/202 is
GCF of Numerators i.e. for 28,819,231 is 7
LCM of denominators i.e. for 421,574,202 is 24407054.
Thus, GCF of Fractions is 7/24407054.Finally, GCF of Fractions for 28/421, 819/574, 231/202 is 7/24407054.