Use our free GCF of Fractions Calculator tool to compute the GCF of 969/933, 554/825 i.e 1/256575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/933, 554/825.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 969/933,554/825
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 969/933,554/825, numerators are 969,554
Denominators are 933,825
The GCF of 969,554 is 1 .
LCM of 933,825 is 256575.
The greatest common factor of 969/933,554/825 = [GCF of 969,554]/[LCM of 933,825]= 1/256575
Therefore, the GCF of 969/933,554/825 is 1/256575.
To find the highest common factor of 969,554, we have to find the factors of both numbers and list the highest common factor.
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The factors of 554 are 1, 2, 277, 554
The HCF of 969,554 is 1.
Lets's calculate GCF of 969,554
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Now, list down the factors of 554
:1,2,277,554
Greatest Common Factor
We found the factors 969,554 . The biggest common factor number is the GCF number.
So the greatest common factor 969,554 is 1.
Lets's calculate LCM of 933,825
3 | 933, 825 |
311, 275 |
∴ So the LCM of the given numbers is 3 x 311 x 275 = 256575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256575
Therefore, the GCF of Fractions 969/933,554/825 is 1/256575
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 933,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,825) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(933,825) x common factors =3 x 1 = 3
LCM(933,825) = ( 933 × 825 ) / 3
LCM(933,825) = 769725 / 3
LCM(933,825) = 256575
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 969,554?
The HCF of 969,554 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 969/933, 554/825?
Answer: GCF of Numerators as per given numbers 969/933, 554/825 is
GCF of Numerators i.e. for 969,554 is 1
LCM of denominators i.e. for 933,825 is 256575.
Thus, GCF of Fractions is 1/256575.Finally, GCF of Fractions for 969/933, 554/825 is 1/256575.