Use our free GCF of Fractions Calculator tool to compute the GCF of 41/950, 11/930, 591/637 i.e 1/56278950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 41/950, 11/930, 591/637.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/950,11/930,591/637
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 41/950,11/930,591/637, numerators are 41,11,591
Denominators are 950,930,637
The GCF of 41,11,591 is 1 .
LCM of 950,930,637 is 56278950.
The greatest common factor of 41/950,11/930,591/637 = [GCF of 41,11,591]/[LCM of 950,930,637]= 1/56278950
Therefore, the GCF of 41/950,11/930,591/637 is 1/56278950.
To find the highest common factor of 41,11,591, we have to find the factors of both numbers and list the highest common factor.
The factors of 41 are 1, 41
The factors of 11 are 1, 11
The factors of 591 are 1, 3, 197, 591
The HCF of 41,11,591 is 1.
Lets's calculate GCF of 41,11,591
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 41
:1,41
Now, list down the factors of 11
:1,11
Now, list down the factors of 591
:1,3,197,591
Greatest Common Factor
We found the factors 41,11,591 . The biggest common factor number is the GCF number.
So the greatest common factor 41,11,591 is 1.
Lets's calculate LCM of 950,930,637
2 | 950, 930, 637 |
5 | 475, 465, 637 |
95, 93, 637 |
∴ So the LCM of the given numbers is 2 x 5 x 95 x 93 x 637 = 56278950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56278950
Therefore, the GCF of Fractions 41/950,11/930,591/637 is 1/56278950
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 950,930,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,930,637) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(950,930,637) x common factors =1 x 10 = 10
LCM(950,930,637) = ( 950 × 930 × 637 ) / 10
LCM(950,930,637) = 562789500 / 10
LCM(950,930,637) = 56278950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 41,11,591?
The HCF of 41,11,591 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 41/950, 11/930, 591/637?
Answer: GCF of Numerators as per given numbers 41/950, 11/930, 591/637 is
GCF of Numerators i.e. for 41,11,591 is 1
LCM of denominators i.e. for 950,930,637 is 56278950.
Thus, GCF of Fractions is 1/56278950.Finally, GCF of Fractions for 41/950, 11/930, 591/637 is 1/56278950.