Use our free GCF of Fractions Calculator tool to compute the GCF of 923/254, 179/800 i.e 1/101600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/254, 179/800.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 923/254,179/800
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 923/254,179/800, numerators are 923,179
Denominators are 254,800
The GCF of 923,179 is 1 .
LCM of 254,800 is 101600.
The greatest common factor of 923/254,179/800 = [GCF of 923,179]/[LCM of 254,800]= 1/101600
Therefore, the GCF of 923/254,179/800 is 1/101600.
To find the highest common factor of 923,179, 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 179 are 1, 179
The HCF of 923,179 is 1.
Lets's calculate GCF of 923,179
∴ 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 179
:1,179
Greatest Common Factor
We found the factors 923,179 . The biggest common factor number is the GCF number.
So the greatest common factor 923,179 is 1.
Lets's calculate LCM of 254,800
2 | 254, 800 |
127, 400 |
∴ So the LCM of the given numbers is 2 x 127 x 400 = 101600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101600
Therefore, the GCF of Fractions 923/254,179/800 is 1/101600
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 254,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,800) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,800) x common factors =2 x 1 = 2
LCM(254,800) = ( 254 × 800 ) / 2
LCM(254,800) = 203200 / 2
LCM(254,800) = 101600
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 923,179?
The HCF of 923,179 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 923/254, 179/800?
Answer: GCF of Numerators as per given numbers 923/254, 179/800 is
GCF of Numerators i.e. for 923,179 is 1
LCM of denominators i.e. for 254,800 is 101600.
Thus, GCF of Fractions is 1/101600.Finally, GCF of Fractions for 923/254, 179/800 is 1/101600.