Use our free GCF of Fractions Calculator tool to compute the GCF of 511/511, 598/848 i.e 1/433328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/511, 598/848.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 511/511,598/848
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 511/511,598/848, numerators are 511,598
Denominators are 511,848
The GCF of 511,598 is 1 .
LCM of 511,848 is 433328.
The greatest common factor of 511/511,598/848 = [GCF of 511,598]/[LCM of 511,848]= 1/433328
Therefore, the GCF of 511/511,598/848 is 1/433328.
To find the highest common factor of 511,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 511 are 1, 7, 73, 511
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 511,598 is 1.
Lets's calculate GCF of 511,598
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 511,598 . The biggest common factor number is the GCF number.
So the greatest common factor 511,598 is 1.
Lets's calculate LCM of 511,848
Given numbers has no common factors except 1. So, there LCM is their product i.e 433328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433328
Therefore, the GCF of Fractions 511/511,598/848 is 1/433328
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 511,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,848) x common factors =1 x 1 = 1
LCM(511,848) = ( 511 × 848 ) / 1
LCM(511,848) = 433328 / 1
LCM(511,848) = 433328
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 511,598?
The HCF of 511,598 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 511/511, 598/848?
Answer: GCF of Numerators as per given numbers 511/511, 598/848 is
GCF of Numerators i.e. for 511,598 is 1
LCM of denominators i.e. for 511,848 is 433328.
Thus, GCF of Fractions is 1/433328.Finally, GCF of Fractions for 511/511, 598/848 is 1/433328.