Use our free GCF of Fractions Calculator tool to compute the GCF of 64/12, 491/19, 969/543 i.e 1/41268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/12, 491/19, 969/543.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/12,491/19,969/543
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 64/12,491/19,969/543, numerators are 64,491,969
Denominators are 12,19,543
The GCF of 64,491,969 is 1 .
LCM of 12,19,543 is 41268.
The greatest common factor of 64/12,491/19,969/543 = [GCF of 64,491,969]/[LCM of 12,19,543]= 1/41268
Therefore, the GCF of 64/12,491/19,969/543 is 1/41268.
To find the highest common factor of 64,491,969, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 491 are 1, 491
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The HCF of 64,491,969 is 1.
Lets's calculate GCF of 64,491,969
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 491
:1,491
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 64,491,969 . The biggest common factor number is the GCF number.
So the greatest common factor 64,491,969 is 1.
Lets's calculate LCM of 12,19,543
3 | 12, 19, 543 |
4, 19, 181 |
∴ So the LCM of the given numbers is 3 x 4 x 19 x 181 = 41268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41268
Therefore, the GCF of Fractions 64/12,491/19,969/543 is 1/41268
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 12,19,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,19,543) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(12,19,543) x common factors =1 x 3 = 3
LCM(12,19,543) = ( 12 × 19 × 543 ) / 3
LCM(12,19,543) = 123804 / 3
LCM(12,19,543) = 41268
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 64,491,969?
The HCF of 64,491,969 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 64/12, 491/19, 969/543?
Answer: GCF of Numerators as per given numbers 64/12, 491/19, 969/543 is
GCF of Numerators i.e. for 64,491,969 is 1
LCM of denominators i.e. for 12,19,543 is 41268.
Thus, GCF of Fractions is 1/41268.Finally, GCF of Fractions for 64/12, 491/19, 969/543 is 1/41268.