Use our free GCF of Fractions Calculator tool to compute the GCF of 381/816, 126/579 i.e 3/157488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 381/816, 126/579.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 381/816,126/579
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 381/816,126/579, numerators are 381,126
Denominators are 816,579
The GCF of 381,126 is 3 .
LCM of 816,579 is 157488.
The greatest common factor of 381/816,126/579 = [GCF of 381,126]/[LCM of 816,579]= 3/157488
Therefore, the GCF of 381/816,126/579 is 3/157488.
To find the highest common factor of 381,126, we have to find the factors of both numbers and list the highest common factor.
The factors of 381 are 1, 3, 127, 381
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The HCF of 381,126 is 3.
Lets's calculate GCF of 381,126
3 | 381, 126 |
127, 42 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 381
:1,3,127,381
Now, list down the factors of 126
:1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 381,126 . The biggest common factor number is the GCF number.
So the greatest common factor 381,126 is 3.
Lets's calculate LCM of 816,579
3 | 816, 579 |
272, 193 |
∴ So the LCM of the given numbers is 3 x 272 x 193 = 157488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/157488
Therefore, the GCF of Fractions 381/816,126/579 is 3/157488
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 816,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,579) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(816,579) x common factors =3 x 1 = 3
LCM(816,579) = ( 816 × 579 ) / 3
LCM(816,579) = 472464 / 3
LCM(816,579) = 157488
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 381,126?
The HCF of 381,126 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 381/816, 126/579?
Answer: GCF of Numerators as per given numbers 381/816, 126/579 is
GCF of Numerators i.e. for 381,126 is 3
LCM of denominators i.e. for 816,579 is 157488.
Thus, GCF of Fractions is 3/157488.Finally, GCF of Fractions for 381/816, 126/579 is 3/157488.