Use our free GCF of Fractions Calculator tool to compute the GCF of 574/994, 843/506 i.e 1/251482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/994, 843/506.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 574/994,843/506
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 574/994,843/506, numerators are 574,843
Denominators are 994,506
The GCF of 574,843 is 1 .
LCM of 994,506 is 251482.
The greatest common factor of 574/994,843/506 = [GCF of 574,843]/[LCM of 994,506]= 1/251482
Therefore, the GCF of 574/994,843/506 is 1/251482.
To find the highest common factor of 574,843, we have to find the factors of both numbers and list the highest common factor.
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The factors of 843 are 1, 3, 281, 843
The HCF of 574,843 is 1.
Lets's calculate GCF of 574,843
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Now, list down the factors of 843
:1,3,281,843
Greatest Common Factor
We found the factors 574,843 . The biggest common factor number is the GCF number.
So the greatest common factor 574,843 is 1.
Lets's calculate LCM of 994,506
2 | 994, 506 |
497, 253 |
∴ So the LCM of the given numbers is 2 x 497 x 253 = 251482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251482
Therefore, the GCF of Fractions 574/994,843/506 is 1/251482
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 994,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,506) x common factors =2 x 1 = 2
LCM(994,506) = ( 994 × 506 ) / 2
LCM(994,506) = 502964 / 2
LCM(994,506) = 251482
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 574,843?
The HCF of 574,843 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 574/994, 843/506?
Answer: GCF of Numerators as per given numbers 574/994, 843/506 is
GCF of Numerators i.e. for 574,843 is 1
LCM of denominators i.e. for 994,506 is 251482.
Thus, GCF of Fractions is 1/251482.Finally, GCF of Fractions for 574/994, 843/506 is 1/251482.