Use our free GCF of Fractions Calculator tool to compute the GCF of 598/211, 403/724 i.e 13/152764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/211, 403/724.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 598/211,403/724
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 598/211,403/724, numerators are 598,403
Denominators are 211,724
The GCF of 598,403 is 13 .
LCM of 211,724 is 152764.
The greatest common factor of 598/211,403/724 = [GCF of 598,403]/[LCM of 211,724]= 13/152764
Therefore, the GCF of 598/211,403/724 is 13/152764.
To find the highest common factor of 598,403, we have to find the factors of both numbers and list the highest common factor.
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The factors of 403 are 1, 13, 31, 403
The HCF of 598,403 is 13.
Lets's calculate GCF of 598,403
13 | 598, 403 |
46, 31 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Now, list down the factors of 403
:1,13,31,403
Greatest Common Factor
We found the factors 598,403 . The biggest common factor number is the GCF number.
So the greatest common factor 598,403 is 13.
Lets's calculate LCM of 211,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 152764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/152764
Therefore, the GCF of Fractions 598/211,403/724 is 13/152764
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 211,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,724) x common factors =1 x 1 = 1
LCM(211,724) = ( 211 × 724 ) / 1
LCM(211,724) = 152764 / 1
LCM(211,724) = 152764
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 598,403?
The HCF of 598,403 is 13
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 598/211, 403/724?
Answer: GCF of Numerators as per given numbers 598/211, 403/724 is
GCF of Numerators i.e. for 598,403 is 13
LCM of denominators i.e. for 211,724 is 152764.
Thus, GCF of Fractions is 13/152764.Finally, GCF of Fractions for 598/211, 403/724 is 13/152764.