Use our free GCF of Fractions Calculator tool to compute the GCF of 96/47, 824/43, 617/923 i.e 1/1865383 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/47, 824/43, 617/923.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/47,824/43,617/923
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 96/47,824/43,617/923, numerators are 96,824,617
Denominators are 47,43,923
The GCF of 96,824,617 is 1 .
LCM of 47,43,923 is 1865383.
The greatest common factor of 96/47,824/43,617/923 = [GCF of 96,824,617]/[LCM of 47,43,923]= 1/1865383
Therefore, the GCF of 96/47,824/43,617/923 is 1/1865383.
To find the highest common factor of 96,824,617, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824
The factors of 617 are 1, 617
The HCF of 96,824,617 is 1.
Lets's calculate GCF of 96,824,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 824
:1,2,4,8,103,206,412,824
Now, list down the factors of 617
:1,617
Greatest Common Factor
We found the factors 96,824,617 . The biggest common factor number is the GCF number.
So the greatest common factor 96,824,617 is 1.
Lets's calculate LCM of 47,43,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 1865383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1865383
Therefore, the GCF of Fractions 96/47,824/43,617/923 is 1/1865383
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 47,43,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,43,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,43,923) x common factors =1 x 1 = 1
LCM(47,43,923) = ( 47 × 43 × 923 ) / 1
LCM(47,43,923) = 1865383 / 1
LCM(47,43,923) = 1865383
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,824,617?
The HCF of 96,824,617 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 96/47, 824/43, 617/923?
Answer: GCF of Numerators as per given numbers 96/47, 824/43, 617/923 is
GCF of Numerators i.e. for 96,824,617 is 1
LCM of denominators i.e. for 47,43,923 is 1865383.
Thus, GCF of Fractions is 1/1865383.Finally, GCF of Fractions for 96/47, 824/43, 617/923 is 1/1865383.