Use our free GCF of Fractions Calculator tool to compute the GCF of 38/63, 810/66, 663/618 i.e 1/142758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/63, 810/66, 663/618.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/63,810/66,663/618
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 38/63,810/66,663/618, numerators are 38,810,663
Denominators are 63,66,618
The GCF of 38,810,663 is 1 .
LCM of 63,66,618 is 142758.
The greatest common factor of 38/63,810/66,663/618 = [GCF of 38,810,663]/[LCM of 63,66,618]= 1/142758
Therefore, the GCF of 38/63,810/66,663/618 is 1/142758.
To find the highest common factor of 38,810,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 38,810,663 is 1.
Lets's calculate GCF of 38,810,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 38,810,663 . The biggest common factor number is the GCF number.
So the greatest common factor 38,810,663 is 1.
Lets's calculate LCM of 63,66,618
2 | 63, 66, 618 |
3 | 63, 33, 309 |
21, 11, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 21 x 11 x 103 = 142758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142758
Therefore, the GCF of Fractions 38/63,810/66,663/618 is 1/142758
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 63,66,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,66,618) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(63,66,618) x common factors =3 x 6 = 18
LCM(63,66,618) = ( 63 × 66 × 618 ) / 18
LCM(63,66,618) = 2569644 / 18
LCM(63,66,618) = 142758
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,810,663?
The HCF of 38,810,663 is 1
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 38/63, 810/66, 663/618?
Answer: GCF of Numerators as per given numbers 38/63, 810/66, 663/618 is
GCF of Numerators i.e. for 38,810,663 is 1
LCM of denominators i.e. for 63,66,618 is 142758.
Thus, GCF of Fractions is 1/142758.Finally, GCF of Fractions for 38/63, 810/66, 663/618 is 1/142758.