Use our free GCF of Fractions Calculator tool to compute the GCF of 14/613, 403/524, 374/659 i.e 1/211678708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/613, 403/524, 374/659.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/613,403/524,374/659
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 14/613,403/524,374/659, numerators are 14,403,374
Denominators are 613,524,659
The GCF of 14,403,374 is 1 .
LCM of 613,524,659 is 211678708.
The greatest common factor of 14/613,403/524,374/659 = [GCF of 14,403,374]/[LCM of 613,524,659]= 1/211678708
Therefore, the GCF of 14/613,403/524,374/659 is 1/211678708.
To find the highest common factor of 14,403,374, 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 403 are 1, 13, 31, 403
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The HCF of 14,403,374 is 1.
Lets's calculate GCF of 14,403,374
∴ 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 403
:1,13,31,403
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 14,403,374 . The biggest common factor number is the GCF number.
So the greatest common factor 14,403,374 is 1.
Lets's calculate LCM of 613,524,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 211678708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211678708
Therefore, the GCF of Fractions 14/613,403/524,374/659 is 1/211678708
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 613,524,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,524,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,524,659) x common factors =1 x 1 = 1
LCM(613,524,659) = ( 613 × 524 × 659 ) / 1
LCM(613,524,659) = 211678708 / 1
LCM(613,524,659) = 211678708
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,403,374?
The HCF of 14,403,374 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 14/613, 403/524, 374/659?
Answer: GCF of Numerators as per given numbers 14/613, 403/524, 374/659 is
GCF of Numerators i.e. for 14,403,374 is 1
LCM of denominators i.e. for 613,524,659 is 211678708.
Thus, GCF of Fractions is 1/211678708.Finally, GCF of Fractions for 14/613, 403/524, 374/659 is 1/211678708.