Use our free GCF of Fractions Calculator tool to compute the GCF of 923/816, 589/112 i.e 1/5712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/816, 589/112.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 923/816,589/112
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 923/816,589/112, numerators are 923,589
Denominators are 816,112
The GCF of 923,589 is 1 .
LCM of 816,112 is 5712.
The greatest common factor of 923/816,589/112 = [GCF of 923,589]/[LCM of 816,112]= 1/5712
Therefore, the GCF of 923/816,589/112 is 1/5712.
To find the highest common factor of 923,589, we have to find the factors of both numbers and list the highest common factor.
The factors of 923 are 1, 13, 71, 923
The factors of 589 are 1, 19, 31, 589
The HCF of 923,589 is 1.
Lets's calculate GCF of 923,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 923
:1,13,71,923
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 923,589 . The biggest common factor number is the GCF number.
So the greatest common factor 923,589 is 1.
Lets's calculate LCM of 816,112
2 | 816, 112 |
2 | 408, 56 |
2 | 204, 28 |
2 | 102, 14 |
51, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 51 x 7 = 5712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5712
Therefore, the GCF of Fractions 923/816,589/112 is 1/5712
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 816,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,112) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(816,112) x common factors =16 x 1 = 16
LCM(816,112) = ( 816 × 112 ) / 16
LCM(816,112) = 91392 / 16
LCM(816,112) = 5712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 923,589?
The HCF of 923,589 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 923/816, 589/112?
Answer: GCF of Numerators as per given numbers 923/816, 589/112 is
GCF of Numerators i.e. for 923,589 is 1
LCM of denominators i.e. for 816,112 is 5712.
Thus, GCF of Fractions is 1/5712.Finally, GCF of Fractions for 923/816, 589/112 is 1/5712.