Use our free GCF of Fractions Calculator tool to compute the GCF of 266/875, 304/441 i.e 38/55125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 266/875, 304/441.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 266/875,304/441
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 266/875,304/441, numerators are 266,304
Denominators are 875,441
The GCF of 266,304 is 38 .
LCM of 875,441 is 55125.
The greatest common factor of 266/875,304/441 = [GCF of 266,304]/[LCM of 875,441]= 38/55125
Therefore, the GCF of 266/875,304/441 is 38/55125.
To find the highest common factor of 266,304, we have to find the factors of both numbers and list the highest common factor.
The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266
The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
The HCF of 266,304 is 38.
Lets's calculate GCF of 266,304
2 | 266, 304 |
19 | 133, 152 |
7, 8 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Now, list down the factors of 266
:1,2,7,14,19,38,133,266
Now, list down the factors of 304
:1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 266,304 . The biggest common factor number is the GCF number.
So the greatest common factor 266,304 is 38.
Lets's calculate LCM of 875,441
7 | 875, 441 |
125, 63 |
∴ So the LCM of the given numbers is 7 x 125 x 63 = 55125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/55125
Therefore, the GCF of Fractions 266/875,304/441 is 38/55125
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 875,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,441) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(875,441) x common factors =7 x 1 = 7
LCM(875,441) = ( 875 × 441 ) / 7
LCM(875,441) = 385875 / 7
LCM(875,441) = 55125
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 266,304?
The HCF of 266,304 is 38
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 266/875, 304/441?
Answer: GCF of Numerators as per given numbers 266/875, 304/441 is
GCF of Numerators i.e. for 266,304 is 38
LCM of denominators i.e. for 875,441 is 55125.
Thus, GCF of Fractions is 38/55125.Finally, GCF of Fractions for 266/875, 304/441 is 38/55125.