Use our free GCF of Fractions Calculator tool to compute the GCF of 93/143, 249/192, 514/366 i.e 1/1674816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/143, 249/192, 514/366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/143,249/192,514/366
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 93/143,249/192,514/366, numerators are 93,249,514
Denominators are 143,192,366
The GCF of 93,249,514 is 1 .
LCM of 143,192,366 is 1674816.
The greatest common factor of 93/143,249/192,514/366 = [GCF of 93,249,514]/[LCM of 143,192,366]= 1/1674816
Therefore, the GCF of 93/143,249/192,514/366 is 1/1674816.
To find the highest common factor of 93,249,514, we have to find the factors of both numbers and list the highest common factor.
The factors of 93 are 1, 3, 31, 93
The factors of 249 are 1, 3, 83, 249
The factors of 514 are 1, 2, 257, 514
The HCF of 93,249,514 is 1.
Lets's calculate GCF of 93,249,514
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 249
:1,3,83,249
Now, list down the factors of 514
:1,2,257,514
Greatest Common Factor
We found the factors 93,249,514 . The biggest common factor number is the GCF number.
So the greatest common factor 93,249,514 is 1.
Lets's calculate LCM of 143,192,366
2 | 143, 192, 366 |
3 | 143, 96, 183 |
143, 32, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 143 x 32 x 61 = 1674816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1674816
Therefore, the GCF of Fractions 93/143,249/192,514/366 is 1/1674816
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 143,192,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,192,366) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(143,192,366) x common factors =1 x 6 = 6
LCM(143,192,366) = ( 143 × 192 × 366 ) / 6
LCM(143,192,366) = 10048896 / 6
LCM(143,192,366) = 1674816
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 93,249,514?
The HCF of 93,249,514 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 93/143, 249/192, 514/366?
Answer: GCF of Numerators as per given numbers 93/143, 249/192, 514/366 is
GCF of Numerators i.e. for 93,249,514 is 1
LCM of denominators i.e. for 143,192,366 is 1674816.
Thus, GCF of Fractions is 1/1674816.Finally, GCF of Fractions for 93/143, 249/192, 514/366 is 1/1674816.