Use our free GCF of Fractions Calculator tool to compute the GCF of 999/536, 467/491 i.e 1/263176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 999/536, 467/491.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 999/536,467/491
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 999/536,467/491, numerators are 999,467
Denominators are 536,491
The GCF of 999,467 is 1 .
LCM of 536,491 is 263176.
The greatest common factor of 999/536,467/491 = [GCF of 999,467]/[LCM of 536,491]= 1/263176
Therefore, the GCF of 999/536,467/491 is 1/263176.
To find the highest common factor of 999,467, we have to find the factors of both numbers and list the highest common factor.
The factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999
The factors of 467 are 1, 467
The HCF of 999,467 is 1.
Lets's calculate GCF of 999,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 999
:1,3,9,27,37,111,333,999
Now, list down the factors of 467
:1,467
Greatest Common Factor
We found the factors 999,467 . The biggest common factor number is the GCF number.
So the greatest common factor 999,467 is 1.
Lets's calculate LCM of 536,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 263176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263176
Therefore, the GCF of Fractions 999/536,467/491 is 1/263176
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 536,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,491) x common factors =1 x 1 = 1
LCM(536,491) = ( 536 × 491 ) / 1
LCM(536,491) = 263176 / 1
LCM(536,491) = 263176
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 999,467?
The HCF of 999,467 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 999/536, 467/491?
Answer: GCF of Numerators as per given numbers 999/536, 467/491 is
GCF of Numerators i.e. for 999,467 is 1
LCM of denominators i.e. for 536,491 is 263176.
Thus, GCF of Fractions is 1/263176.Finally, GCF of Fractions for 999/536, 467/491 is 1/263176.