Use our free GCF of Fractions Calculator tool to compute the GCF of 94/864, 31/909, 685/384 i.e 1/349056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/864, 31/909, 685/384.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/864,31/909,685/384
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 94/864,31/909,685/384, numerators are 94,31,685
Denominators are 864,909,384
The GCF of 94,31,685 is 1 .
LCM of 864,909,384 is 349056.
The greatest common factor of 94/864,31/909,685/384 = [GCF of 94,31,685]/[LCM of 864,909,384]= 1/349056
Therefore, the GCF of 94/864,31/909,685/384 is 1/349056.
To find the highest common factor of 94,31,685, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 31 are 1, 31
The factors of 685 are 1, 5, 137, 685
The HCF of 94,31,685 is 1.
Lets's calculate GCF of 94,31,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 31
:1,31
Now, list down the factors of 685
:1,5,137,685
Greatest Common Factor
We found the factors 94,31,685 . The biggest common factor number is the GCF number.
So the greatest common factor 94,31,685 is 1.
Lets's calculate LCM of 864,909,384
2 | 864, 909, 384 |
2 | 432, 909, 192 |
2 | 216, 909, 96 |
2 | 108, 909, 48 |
2 | 54, 909, 24 |
3 | 27, 909, 12 |
3 | 9, 303, 4 |
3, 101, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 101 x 4 = 349056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349056
Therefore, the GCF of Fractions 94/864,31/909,685/384 is 1/349056
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 864,909,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,909,384) = 3
common factors(in case of two or more numbers have common factors) = 288
GCF(864,909,384) x common factors =3 x 288 = 864
LCM(864,909,384) = ( 864 × 909 × 384 ) / 864
LCM(864,909,384) = 301584384 / 864
LCM(864,909,384) = 349056
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,31,685?
The HCF of 94,31,685 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 94/864, 31/909, 685/384?
Answer: GCF of Numerators as per given numbers 94/864, 31/909, 685/384 is
GCF of Numerators i.e. for 94,31,685 is 1
LCM of denominators i.e. for 864,909,384 is 349056.
Thus, GCF of Fractions is 1/349056.Finally, GCF of Fractions for 94/864, 31/909, 685/384 is 1/349056.