Use our free GCF of Fractions Calculator tool to compute the GCF of 63/283, 204/542, 318/151 i.e 3/23161286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/283, 204/542, 318/151.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/283,204/542,318/151
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 63/283,204/542,318/151, numerators are 63,204,318
Denominators are 283,542,151
The GCF of 63,204,318 is 3 .
LCM of 283,542,151 is 23161286.
The greatest common factor of 63/283,204/542,318/151 = [GCF of 63,204,318]/[LCM of 283,542,151]= 3/23161286
Therefore, the GCF of 63/283,204/542,318/151 is 3/23161286.
To find the highest common factor of 63,204,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 63,204,318 is 3.
Lets's calculate GCF of 63,204,318
3 | 63, 204, 318 |
21, 68, 106 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 63,204,318 . The biggest common factor number is the GCF number.
So the greatest common factor 63,204,318 is 3.
Lets's calculate LCM of 283,542,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 23161286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/23161286
Therefore, the GCF of Fractions 63/283,204/542,318/151 is 3/23161286
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 283,542,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,542,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,542,151) x common factors =1 x 1 = 1
LCM(283,542,151) = ( 283 × 542 × 151 ) / 1
LCM(283,542,151) = 23161286 / 1
LCM(283,542,151) = 23161286
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 63,204,318?
The HCF of 63,204,318 is 3
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 63/283, 204/542, 318/151?
Answer: GCF of Numerators as per given numbers 63/283, 204/542, 318/151 is
GCF of Numerators i.e. for 63,204,318 is 3
LCM of denominators i.e. for 283,542,151 is 23161286.
Thus, GCF of Fractions is 3/23161286.Finally, GCF of Fractions for 63/283, 204/542, 318/151 is 3/23161286.