Use our free GCF of Fractions Calculator tool to compute the GCF of 264/105, 304/995 i.e 8/20895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 264/105, 304/995.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 264/105,304/995
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 264/105,304/995, numerators are 264,304
Denominators are 105,995
The GCF of 264,304 is 8 .
LCM of 105,995 is 20895.
The greatest common factor of 264/105,304/995 = [GCF of 264,304]/[LCM of 105,995]= 8/20895
Therefore, the GCF of 264/105,304/995 is 8/20895.
To find the highest common factor of 264,304, we have to find the factors of both numbers and list the highest common factor.
The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
The HCF of 264,304 is 8.
Lets's calculate GCF of 264,304
2 | 264, 304 |
2 | 132, 152 |
2 | 66, 76 |
33, 38 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 264
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Now, list down the factors of 304
:1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 264,304 . The biggest common factor number is the GCF number.
So the greatest common factor 264,304 is 8.
Lets's calculate LCM of 105,995
5 | 105, 995 |
21, 199 |
∴ So the LCM of the given numbers is 5 x 21 x 199 = 20895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/20895
Therefore, the GCF of Fractions 264/105,304/995 is 8/20895
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 105,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,995) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(105,995) x common factors =5 x 1 = 5
LCM(105,995) = ( 105 × 995 ) / 5
LCM(105,995) = 104475 / 5
LCM(105,995) = 20895
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 264,304?
The HCF of 264,304 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 264/105, 304/995?
Answer: GCF of Numerators as per given numbers 264/105, 304/995 is
GCF of Numerators i.e. for 264,304 is 8
LCM of denominators i.e. for 105,995 is 20895.
Thus, GCF of Fractions is 8/20895.Finally, GCF of Fractions for 264/105, 304/995 is 8/20895.