Use our free GCF of Fractions Calculator tool to compute the GCF of 75/824, 921/387, 663/247 i.e 3/78765336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 75/824, 921/387, 663/247.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/824,921/387,663/247
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 75/824,921/387,663/247, numerators are 75,921,663
Denominators are 824,387,247
The GCF of 75,921,663 is 3 .
LCM of 824,387,247 is 78765336.
The greatest common factor of 75/824,921/387,663/247 = [GCF of 75,921,663]/[LCM of 824,387,247]= 3/78765336
Therefore, the GCF of 75/824,921/387,663/247 is 3/78765336.
To find the highest common factor of 75,921,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 921 are 1, 3, 307, 921
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 75,921,663 is 3.
Lets's calculate GCF of 75,921,663
3 | 75, 921, 663 |
25, 307, 221 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 921
:1,3,307,921
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 75,921,663 . The biggest common factor number is the GCF number.
So the greatest common factor 75,921,663 is 3.
Lets's calculate LCM of 824,387,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 78765336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/78765336
Therefore, the GCF of Fractions 75/824,921/387,663/247 is 3/78765336
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 824,387,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,387,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,387,247) x common factors =1 x 1 = 1
LCM(824,387,247) = ( 824 × 387 × 247 ) / 1
LCM(824,387,247) = 78765336 / 1
LCM(824,387,247) = 78765336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 75,921,663?
The HCF of 75,921,663 is 3
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 75/824, 921/387, 663/247?
Answer: GCF of Numerators as per given numbers 75/824, 921/387, 663/247 is
GCF of Numerators i.e. for 75,921,663 is 3
LCM of denominators i.e. for 824,387,247 is 78765336.
Thus, GCF of Fractions is 3/78765336.Finally, GCF of Fractions for 75/824, 921/387, 663/247 is 3/78765336.