Use our free GCF of Fractions Calculator tool to compute the GCF of 854/68, 576/934 i.e 2/31756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 854/68, 576/934.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 854/68,576/934
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 854/68,576/934, numerators are 854,576
Denominators are 68,934
The GCF of 854,576 is 2 .
LCM of 68,934 is 31756.
The greatest common factor of 854/68,576/934 = [GCF of 854,576]/[LCM of 68,934]= 2/31756
Therefore, the GCF of 854/68,576/934 is 2/31756.
To find the highest common factor of 854,576, we have to find the factors of both numbers and list the highest common factor.
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854
The factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
The HCF of 854,576 is 2.
Lets's calculate GCF of 854,576
2 | 854, 576 |
427, 288 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 854
:1,2,7,14,61,122,427,854
Now, list down the factors of 576
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 854,576 . The biggest common factor number is the GCF number.
So the greatest common factor 854,576 is 2.
Lets's calculate LCM of 68,934
2 | 68, 934 |
34, 467 |
∴ So the LCM of the given numbers is 2 x 34 x 467 = 31756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31756
Therefore, the GCF of Fractions 854/68,576/934 is 2/31756
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 68,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,934) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(68,934) x common factors =2 x 1 = 2
LCM(68,934) = ( 68 × 934 ) / 2
LCM(68,934) = 63512 / 2
LCM(68,934) = 31756
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 854,576?
The HCF of 854,576 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 854/68, 576/934?
Answer: GCF of Numerators as per given numbers 854/68, 576/934 is
GCF of Numerators i.e. for 854,576 is 2
LCM of denominators i.e. for 68,934 is 31756.
Thus, GCF of Fractions is 2/31756.Finally, GCF of Fractions for 854/68, 576/934 is 2/31756.