Use our free GCF of Fractions Calculator tool to compute the GCF of 38/84, 50/678, 721/494 i.e 1/2344524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/84, 50/678, 721/494.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/84,50/678,721/494
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 38/84,50/678,721/494, numerators are 38,50,721
Denominators are 84,678,494
The GCF of 38,50,721 is 1 .
LCM of 84,678,494 is 2344524.
The greatest common factor of 38/84,50/678,721/494 = [GCF of 38,50,721]/[LCM of 84,678,494]= 1/2344524
Therefore, the GCF of 38/84,50/678,721/494 is 1/2344524.
To find the highest common factor of 38,50,721, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 721 are 1, 7, 103, 721
The HCF of 38,50,721 is 1.
Lets's calculate GCF of 38,50,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 721
:1,7,103,721
Greatest Common Factor
We found the factors 38,50,721 . The biggest common factor number is the GCF number.
So the greatest common factor 38,50,721 is 1.
Lets's calculate LCM of 84,678,494
2 | 84, 678, 494 |
3 | 42, 339, 247 |
14, 113, 247 |
∴ So the LCM of the given numbers is 2 x 3 x 14 x 113 x 247 = 2344524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2344524
Therefore, the GCF of Fractions 38/84,50/678,721/494 is 1/2344524
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 84,678,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,678,494) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(84,678,494) x common factors =2 x 6 = 12
LCM(84,678,494) = ( 84 × 678 × 494 ) / 12
LCM(84,678,494) = 28134288 / 12
LCM(84,678,494) = 2344524
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,50,721?
The HCF of 38,50,721 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 38/84, 50/678, 721/494?
Answer: GCF of Numerators as per given numbers 38/84, 50/678, 721/494 is
GCF of Numerators i.e. for 38,50,721 is 1
LCM of denominators i.e. for 84,678,494 is 2344524.
Thus, GCF of Fractions is 1/2344524.Finally, GCF of Fractions for 38/84, 50/678, 721/494 is 1/2344524.