Use our free GCF of Fractions Calculator tool to compute the GCF of 441/797, 210/954 i.e 21/760338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/797, 210/954.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 441/797,210/954
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 441/797,210/954, numerators are 441,210
Denominators are 797,954
The GCF of 441,210 is 21 .
LCM of 797,954 is 760338.
The greatest common factor of 441/797,210/954 = [GCF of 441,210]/[LCM of 797,954]= 21/760338
Therefore, the GCF of 441/797,210/954 is 21/760338.
To find the highest common factor of 441,210, we have to find the factors of both numbers and list the highest common factor.
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The HCF of 441,210 is 21.
Lets's calculate GCF of 441,210
3 | 441, 210 |
7 | 147, 70 |
21, 10 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Now, list down the factors of 441
:1,3,7,9,21,49,63,147,441
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 441,210 . The biggest common factor number is the GCF number.
So the greatest common factor 441,210 is 21.
Lets's calculate LCM of 797,954
Given numbers has no common factors except 1. So, there LCM is their product i.e 760338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/760338
Therefore, the GCF of Fractions 441/797,210/954 is 21/760338
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 797,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,954) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,954) x common factors =1 x 1 = 1
LCM(797,954) = ( 797 × 954 ) / 1
LCM(797,954) = 760338 / 1
LCM(797,954) = 760338
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 441,210?
The HCF of 441,210 is 21
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 441/797, 210/954?
Answer: GCF of Numerators as per given numbers 441/797, 210/954 is
GCF of Numerators i.e. for 441,210 is 21
LCM of denominators i.e. for 797,954 is 760338.
Thus, GCF of Fractions is 21/760338.Finally, GCF of Fractions for 441/797, 210/954 is 21/760338.