Use our free GCF of Fractions Calculator tool to compute the GCF of 954/411, 583/504 i.e 53/69048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/411, 583/504.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 954/411,583/504
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 954/411,583/504, numerators are 954,583
Denominators are 411,504
The GCF of 954,583 is 53 .
LCM of 411,504 is 69048.
The greatest common factor of 954/411,583/504 = [GCF of 954,583]/[LCM of 411,504]= 53/69048
Therefore, the GCF of 954/411,583/504 is 53/69048.
To find the highest common factor of 954,583, we have to find the factors of both numbers and list the highest common factor.
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
The factors of 583 are 1, 11, 53, 583
The HCF of 954,583 is 53.
Lets's calculate GCF of 954,583
53 | 954, 583 |
18, 11 |
∴ So the GCF of the given numbers is 53 = 53
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
Now, list down the factors of 583
:1,11,53,583
Greatest Common Factor
We found the factors 954,583 . The biggest common factor number is the GCF number.
So the greatest common factor 954,583 is 53.
Lets's calculate LCM of 411,504
3 | 411, 504 |
137, 168 |
∴ So the LCM of the given numbers is 3 x 137 x 168 = 69048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/69048
Therefore, the GCF of Fractions 954/411,583/504 is 53/69048
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 411,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,504) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(411,504) x common factors =3 x 1 = 3
LCM(411,504) = ( 411 × 504 ) / 3
LCM(411,504) = 207144 / 3
LCM(411,504) = 69048
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 954,583?
The HCF of 954,583 is 53
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 954/411, 583/504?
Answer: GCF of Numerators as per given numbers 954/411, 583/504 is
GCF of Numerators i.e. for 954,583 is 53
LCM of denominators i.e. for 411,504 is 69048.
Thus, GCF of Fractions is 53/69048.Finally, GCF of Fractions for 954/411, 583/504 is 53/69048.