Use our free GCF of Fractions Calculator tool to compute the GCF of 4/31, 14/99, 30/403, 598/979 i.e 2/3550833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/31, 14/99, 30/403, 598/979.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/31,14/99,30/403,598/979
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 4/31,14/99,30/403,598/979, numerators are 4,14,30,598
Denominators are 31,99,403,979
The GCF of 4,14,30,598 is 2 .
LCM of 31,99,403,979 is 3550833.
The greatest common factor of 4/31,14/99,30/403,598/979 = [GCF of 4,14,30,598]/[LCM of 31,99,403,979]= 2/3550833
Therefore, the GCF of 4/31,14/99,30/403,598/979 is 2/3550833.
To find the highest common factor of 4,14,30,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 14 are 1, 2, 7, 14
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 4,14,30,598 is 2.
Lets's calculate GCF of 4,14,30,598
2 | 4, 14, 30, 598 |
2, 7, 15, 299 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 4,14,30,598 . The biggest common factor number is the GCF number.
So the greatest common factor 4,14,30,598 is 2.
Lets's calculate LCM of 31,99,403,979
11 | 31, 99, 403, 979 |
31 | 31, 9, 403, 89 |
1, 9, 13, 89 |
∴ So the LCM of the given numbers is 11 x 31 x 1 x 9 x 13 x 89 = 3550833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3550833
Therefore, the GCF of Fractions 4/31,14/99,30/403,598/979 is 2/3550833
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 31,99,403,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,99,403,979) = 1
common factors(in case of two or more numbers have common factors) = 341
GCF(31,99,403,979) x common factors =1 x 341 = 341
LCM(31,99,403,979) = ( 31 × 99 × 403 × 979 ) / 341
LCM(31,99,403,979) = 1210834053 / 341
LCM(31,99,403,979) = 3550833
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4,14,30,598?
The HCF of 4,14,30,598 is 2
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 4/31, 14/99, 30/403, 598/979?
Answer: GCF of Numerators as per given numbers 4/31, 14/99, 30/403, 598/979 is
GCF of Numerators i.e. for 4,14,30,598 is 2
LCM of denominators i.e. for 31,99,403,979 is 3550833.
Thus, GCF of Fractions is 2/3550833.Finally, GCF of Fractions for 4/31, 14/99, 30/403, 598/979 is 2/3550833.