Use our free GCF of Fractions Calculator tool to compute the GCF of 878/462, 514/524 i.e 2/121044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/462, 514/524.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 878/462,514/524
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 878/462,514/524, numerators are 878,514
Denominators are 462,524
The GCF of 878,514 is 2 .
LCM of 462,524 is 121044.
The greatest common factor of 878/462,514/524 = [GCF of 878,514]/[LCM of 462,524]= 2/121044
Therefore, the GCF of 878/462,514/524 is 2/121044.
To find the highest common factor of 878,514, we have to find the factors of both numbers and list the highest common factor.
The factors of 878 are 1, 2, 439, 878
The factors of 514 are 1, 2, 257, 514
The HCF of 878,514 is 2.
Lets's calculate GCF of 878,514
2 | 878, 514 |
439, 257 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 878
:1,2,439,878
Now, list down the factors of 514
:1,2,257,514
Greatest Common Factor
We found the factors 878,514 . The biggest common factor number is the GCF number.
So the greatest common factor 878,514 is 2.
Lets's calculate LCM of 462,524
2 | 462, 524 |
231, 262 |
∴ So the LCM of the given numbers is 2 x 231 x 262 = 121044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121044
Therefore, the GCF of Fractions 878/462,514/524 is 2/121044
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 462,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,524) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(462,524) x common factors =2 x 1 = 2
LCM(462,524) = ( 462 × 524 ) / 2
LCM(462,524) = 242088 / 2
LCM(462,524) = 121044
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 878,514?
The HCF of 878,514 is 2
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 878/462, 514/524?
Answer: GCF of Numerators as per given numbers 878/462, 514/524 is
GCF of Numerators i.e. for 878,514 is 2
LCM of denominators i.e. for 462,524 is 121044.
Thus, GCF of Fractions is 2/121044.Finally, GCF of Fractions for 878/462, 514/524 is 2/121044.