Use our free GCF of Fractions Calculator tool to compute the GCF of 509/894, 1622/363 i.e 1/108174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 509/894, 1622/363.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 509/894,1622/363
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 509/894,1622/363, numerators are 509,1622
Denominators are 894,363
The GCF of 509,1622 is 1 .
LCM of 894,363 is 108174.
The greatest common factor of 509/894,1622/363 = [GCF of 509,1622]/[LCM of 894,363]= 1/108174
Therefore, the GCF of 509/894,1622/363 is 1/108174.
To find the highest common factor of 509,1622, we have to find the factors of both numbers and list the highest common factor.
The factors of 509 are 1, 509
The factors of 1622 are 1, 2, 811, 1622
The HCF of 509,1622 is 1.
Lets's calculate GCF of 509,1622
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 509
:1,509
Now, list down the factors of 1622
:1,2,811,1622
Greatest Common Factor
We found the factors 509,1622 . The biggest common factor number is the GCF number.
So the greatest common factor 509,1622 is 1.
Lets's calculate LCM of 894,363
3 | 894, 363 |
298, 121 |
∴ So the LCM of the given numbers is 3 x 298 x 121 = 108174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108174
Therefore, the GCF of Fractions 509/894,1622/363 is 1/108174
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 894,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,363) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(894,363) x common factors =3 x 1 = 3
LCM(894,363) = ( 894 × 363 ) / 3
LCM(894,363) = 324522 / 3
LCM(894,363) = 108174
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 509,1622?
The HCF of 509,1622 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 509/894, 1622/363?
Answer: GCF of Numerators as per given numbers 509/894, 1622/363 is
GCF of Numerators i.e. for 509,1622 is 1
LCM of denominators i.e. for 894,363 is 108174.
Thus, GCF of Fractions is 1/108174.Finally, GCF of Fractions for 509/894, 1622/363 is 1/108174.