Use our free GCF of Fractions Calculator tool to compute the GCF of 63/54, 814/51, 514/662 i.e 1/303858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/54, 814/51, 514/662.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/54,814/51,514/662
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 63/54,814/51,514/662, numerators are 63,814,514
Denominators are 54,51,662
The GCF of 63,814,514 is 1 .
LCM of 54,51,662 is 303858.
The greatest common factor of 63/54,814/51,514/662 = [GCF of 63,814,514]/[LCM of 54,51,662]= 1/303858
Therefore, the GCF of 63/54,814/51,514/662 is 1/303858.
To find the highest common factor of 63,814,514, 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 814 are 1, 2, 11, 22, 37, 74, 407, 814
The factors of 514 are 1, 2, 257, 514
The HCF of 63,814,514 is 1.
Lets's calculate GCF of 63,814,514
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Now, list down the factors of 514
:1,2,257,514
Greatest Common Factor
We found the factors 63,814,514 . The biggest common factor number is the GCF number.
So the greatest common factor 63,814,514 is 1.
Lets's calculate LCM of 54,51,662
2 | 54, 51, 662 |
3 | 27, 51, 331 |
9, 17, 331 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 17 x 331 = 303858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303858
Therefore, the GCF of Fractions 63/54,814/51,514/662 is 1/303858
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 54,51,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,51,662) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(54,51,662) x common factors =1 x 6 = 6
LCM(54,51,662) = ( 54 × 51 × 662 ) / 6
LCM(54,51,662) = 1823148 / 6
LCM(54,51,662) = 303858
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 63,814,514?
The HCF of 63,814,514 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 63/54, 814/51, 514/662?
Answer: GCF of Numerators as per given numbers 63/54, 814/51, 514/662 is
GCF of Numerators i.e. for 63,814,514 is 1
LCM of denominators i.e. for 54,51,662 is 303858.
Thus, GCF of Fractions is 1/303858.Finally, GCF of Fractions for 63/54, 814/51, 514/662 is 1/303858.