Use our free GCF of Fractions Calculator tool to compute the GCF of 923/650, 376/675 i.e 1/17550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/650, 376/675.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 923/650,376/675
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 923/650,376/675, numerators are 923,376
Denominators are 650,675
The GCF of 923,376 is 1 .
LCM of 650,675 is 17550.
The greatest common factor of 923/650,376/675 = [GCF of 923,376]/[LCM of 650,675]= 1/17550
Therefore, the GCF of 923/650,376/675 is 1/17550.
To find the highest common factor of 923,376, 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 376 are 1, 2, 4, 8, 47, 94, 188, 376
The HCF of 923,376 is 1.
Lets's calculate GCF of 923,376
∴ 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 376
:1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 923,376 . The biggest common factor number is the GCF number.
So the greatest common factor 923,376 is 1.
Lets's calculate LCM of 650,675
5 | 650, 675 |
5 | 130, 135 |
26, 27 |
∴ So the LCM of the given numbers is 5 x 5 x 26 x 27 = 17550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17550
Therefore, the GCF of Fractions 923/650,376/675 is 1/17550
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 650,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,675) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(650,675) x common factors =25 x 1 = 25
LCM(650,675) = ( 650 × 675 ) / 25
LCM(650,675) = 438750 / 25
LCM(650,675) = 17550
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 923,376?
The HCF of 923,376 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 923/650, 376/675?
Answer: GCF of Numerators as per given numbers 923/650, 376/675 is
GCF of Numerators i.e. for 923,376 is 1
LCM of denominators i.e. for 650,675 is 17550.
Thus, GCF of Fractions is 1/17550.Finally, GCF of Fractions for 923/650, 376/675 is 1/17550.