Use our free GCF of Fractions Calculator tool to compute the GCF of 75/981, 283/812, 539/866 i.e 1/344915676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 75/981, 283/812, 539/866.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/981,283/812,539/866
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 75/981,283/812,539/866, numerators are 75,283,539
Denominators are 981,812,866
The GCF of 75,283,539 is 1 .
LCM of 981,812,866 is 344915676.
The greatest common factor of 75/981,283/812,539/866 = [GCF of 75,283,539]/[LCM of 981,812,866]= 1/344915676
Therefore, the GCF of 75/981,283/812,539/866 is 1/344915676.
To find the highest common factor of 75,283,539, we have to find the factors of both numbers and list the highest common factor.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 283 are 1, 283
The factors of 539 are 1, 7, 11, 49, 77, 539
The HCF of 75,283,539 is 1.
Lets's calculate GCF of 75,283,539
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 283
:1,283
Now, list down the factors of 539
:1,7,11,49,77,539
Greatest Common Factor
We found the factors 75,283,539 . The biggest common factor number is the GCF number.
So the greatest common factor 75,283,539 is 1.
Lets's calculate LCM of 981,812,866
2 | 981, 812, 866 |
981, 406, 433 |
∴ So the LCM of the given numbers is 2 x 981 x 406 x 433 = 344915676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344915676
Therefore, the GCF of Fractions 75/981,283/812,539/866 is 1/344915676
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 981,812,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,812,866) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(981,812,866) x common factors =1 x 2 = 2
LCM(981,812,866) = ( 981 × 812 × 866 ) / 2
LCM(981,812,866) = 689831352 / 2
LCM(981,812,866) = 344915676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 75,283,539?
The HCF of 75,283,539 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 75/981, 283/812, 539/866?
Answer: GCF of Numerators as per given numbers 75/981, 283/812, 539/866 is
GCF of Numerators i.e. for 75,283,539 is 1
LCM of denominators i.e. for 981,812,866 is 344915676.
Thus, GCF of Fractions is 1/344915676.Finally, GCF of Fractions for 75/981, 283/812, 539/866 is 1/344915676.