Use our free GCF of Fractions Calculator tool to compute the GCF of 25/792, 666/732, 545/286 i.e 1/628056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/792, 666/732, 545/286.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/792,666/732,545/286
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 25/792,666/732,545/286, numerators are 25,666,545
Denominators are 792,732,286
The GCF of 25,666,545 is 1 .
LCM of 792,732,286 is 628056.
The greatest common factor of 25/792,666/732,545/286 = [GCF of 25,666,545]/[LCM of 792,732,286]= 1/628056
Therefore, the GCF of 25/792,666/732,545/286 is 1/628056.
To find the highest common factor of 25,666,545, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 545 are 1, 5, 109, 545
The HCF of 25,666,545 is 1.
Lets's calculate GCF of 25,666,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 545
:1,5,109,545
Greatest Common Factor
We found the factors 25,666,545 . The biggest common factor number is the GCF number.
So the greatest common factor 25,666,545 is 1.
Lets's calculate LCM of 792,732,286
2 | 792, 732, 286 |
2 | 396, 366, 143 |
3 | 198, 183, 143 |
11 | 66, 61, 143 |
6, 61, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 6 x 61 x 13 = 628056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/628056
Therefore, the GCF of Fractions 25/792,666/732,545/286 is 1/628056
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 792,732,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,732,286) = 2
common factors(in case of two or more numbers have common factors) = 132
GCF(792,732,286) x common factors =2 x 132 = 264
LCM(792,732,286) = ( 792 × 732 × 286 ) / 264
LCM(792,732,286) = 165806784 / 264
LCM(792,732,286) = 628056
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 25,666,545?
The HCF of 25,666,545 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 25/792, 666/732, 545/286?
Answer: GCF of Numerators as per given numbers 25/792, 666/732, 545/286 is
GCF of Numerators i.e. for 25,666,545 is 1
LCM of denominators i.e. for 792,732,286 is 628056.
Thus, GCF of Fractions is 1/628056.Finally, GCF of Fractions for 25/792, 666/732, 545/286 is 1/628056.