Use our free GCF of Fractions Calculator tool to compute the GCF of 14/829, 521/185, 185/530 i.e 1/16256690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/829, 521/185, 185/530.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/829,521/185,185/530
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 14/829,521/185,185/530, numerators are 14,521,185
Denominators are 829,185,530
The GCF of 14,521,185 is 1 .
LCM of 829,185,530 is 16256690.
The greatest common factor of 14/829,521/185,185/530 = [GCF of 14,521,185]/[LCM of 829,185,530]= 1/16256690
Therefore, the GCF of 14/829,521/185,185/530 is 1/16256690.
To find the highest common factor of 14,521,185, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 521 are 1, 521
The factors of 185 are 1, 5, 37, 185
The HCF of 14,521,185 is 1.
Lets's calculate GCF of 14,521,185
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 521
:1,521
Now, list down the factors of 185
:1,5,37,185
Greatest Common Factor
We found the factors 14,521,185 . The biggest common factor number is the GCF number.
So the greatest common factor 14,521,185 is 1.
Lets's calculate LCM of 829,185,530
5 | 829, 185, 530 |
829, 37, 106 |
∴ So the LCM of the given numbers is 5 x 829 x 37 x 106 = 16256690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16256690
Therefore, the GCF of Fractions 14/829,521/185,185/530 is 1/16256690
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 829,185,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,185,530) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(829,185,530) x common factors =1 x 5 = 5
LCM(829,185,530) = ( 829 × 185 × 530 ) / 5
LCM(829,185,530) = 81283450 / 5
LCM(829,185,530) = 16256690
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,521,185?
The HCF of 14,521,185 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 14/829, 521/185, 185/530?
Answer: GCF of Numerators as per given numbers 14/829, 521/185, 185/530 is
GCF of Numerators i.e. for 14,521,185 is 1
LCM of denominators i.e. for 829,185,530 is 16256690.
Thus, GCF of Fractions is 1/16256690.Finally, GCF of Fractions for 14/829, 521/185, 185/530 is 1/16256690.