Use our free GCF of Fractions Calculator tool to compute the GCF of 563/994, 499/452 i.e 1/224644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 563/994, 499/452.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 563/994,499/452
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 563/994,499/452, numerators are 563,499
Denominators are 994,452
The GCF of 563,499 is 1 .
LCM of 994,452 is 224644.
The greatest common factor of 563/994,499/452 = [GCF of 563,499]/[LCM of 994,452]= 1/224644
Therefore, the GCF of 563/994,499/452 is 1/224644.
To find the highest common factor of 563,499, we have to find the factors of both numbers and list the highest common factor.
The factors of 563 are 1, 563
The factors of 499 are 1, 499
The HCF of 563,499 is 1.
Lets's calculate GCF of 563,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 563
:1,563
Now, list down the factors of 499
:1,499
Greatest Common Factor
We found the factors 563,499 . The biggest common factor number is the GCF number.
So the greatest common factor 563,499 is 1.
Lets's calculate LCM of 994,452
2 | 994, 452 |
497, 226 |
∴ So the LCM of the given numbers is 2 x 497 x 226 = 224644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224644
Therefore, the GCF of Fractions 563/994,499/452 is 1/224644
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 994,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,452) x common factors =2 x 1 = 2
LCM(994,452) = ( 994 × 452 ) / 2
LCM(994,452) = 449288 / 2
LCM(994,452) = 224644
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 563,499?
The HCF of 563,499 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 563/994, 499/452?
Answer: GCF of Numerators as per given numbers 563/994, 499/452 is
GCF of Numerators i.e. for 563,499 is 1
LCM of denominators i.e. for 994,452 is 224644.
Thus, GCF of Fractions is 1/224644.Finally, GCF of Fractions for 563/994, 499/452 is 1/224644.