Use our free GCF of Fractions Calculator tool to compute the GCF of 499/630, 945/558 i.e 1/19530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 499/630, 945/558.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 499/630,945/558
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 499/630,945/558, numerators are 499,945
Denominators are 630,558
The GCF of 499,945 is 1 .
LCM of 630,558 is 19530.
The greatest common factor of 499/630,945/558 = [GCF of 499,945]/[LCM of 630,558]= 1/19530
Therefore, the GCF of 499/630,945/558 is 1/19530.
To find the highest common factor of 499,945, we have to find the factors of both numbers and list the highest common factor.
The factors of 499 are 1, 499
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The HCF of 499,945 is 1.
Lets's calculate GCF of 499,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 499
:1,499
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 499,945 . The biggest common factor number is the GCF number.
So the greatest common factor 499,945 is 1.
Lets's calculate LCM of 630,558
2 | 630, 558 |
3 | 315, 279 |
3 | 105, 93 |
35, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 35 x 31 = 19530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19530
Therefore, the GCF of Fractions 499/630,945/558 is 1/19530
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 630,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,558) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(630,558) x common factors =18 x 1 = 18
LCM(630,558) = ( 630 × 558 ) / 18
LCM(630,558) = 351540 / 18
LCM(630,558) = 19530
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 499,945?
The HCF of 499,945 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 499/630, 945/558?
Answer: GCF of Numerators as per given numbers 499/630, 945/558 is
GCF of Numerators i.e. for 499,945 is 1
LCM of denominators i.e. for 630,558 is 19530.
Thus, GCF of Fractions is 1/19530.Finally, GCF of Fractions for 499/630, 945/558 is 1/19530.