Use our free GCF of Fractions Calculator tool to compute the GCF of 843/961, 477/155 i.e 3/4805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 843/961, 477/155.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 843/961,477/155
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 843/961,477/155, numerators are 843,477
Denominators are 961,155
The GCF of 843,477 is 3 .
LCM of 961,155 is 4805.
The greatest common factor of 843/961,477/155 = [GCF of 843,477]/[LCM of 961,155]= 3/4805
Therefore, the GCF of 843/961,477/155 is 3/4805.
To find the highest common factor of 843,477, we have to find the factors of both numbers and list the highest common factor.
The factors of 843 are 1, 3, 281, 843
The factors of 477 are 1, 3, 9, 53, 159, 477
The HCF of 843,477 is 3.
Lets's calculate GCF of 843,477
3 | 843, 477 |
281, 159 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 843
:1,3,281,843
Now, list down the factors of 477
:1,3,9,53,159,477
Greatest Common Factor
We found the factors 843,477 . The biggest common factor number is the GCF number.
So the greatest common factor 843,477 is 3.
Lets's calculate LCM of 961,155
31 | 961, 155 |
31, 5 |
∴ So the LCM of the given numbers is 31 x 31 x 5 = 4805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4805
Therefore, the GCF of Fractions 843/961,477/155 is 3/4805
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 961,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,155) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(961,155) x common factors =31 x 1 = 31
LCM(961,155) = ( 961 × 155 ) / 31
LCM(961,155) = 148955 / 31
LCM(961,155) = 4805
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 843,477?
The HCF of 843,477 is 3
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 843/961, 477/155?
Answer: GCF of Numerators as per given numbers 843/961, 477/155 is
GCF of Numerators i.e. for 843,477 is 3
LCM of denominators i.e. for 961,155 is 4805.
Thus, GCF of Fractions is 3/4805.Finally, GCF of Fractions for 843/961, 477/155 is 3/4805.