Use our free GCF of Fractions Calculator tool to compute the GCF of 52/32, 464/69, 184/922 i.e 4/1017888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/32, 464/69, 184/922.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/32,464/69,184/922
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 52/32,464/69,184/922, numerators are 52,464,184
Denominators are 32,69,922
The GCF of 52,464,184 is 4 .
LCM of 32,69,922 is 1017888.
The greatest common factor of 52/32,464/69,184/922 = [GCF of 52,464,184]/[LCM of 32,69,922]= 4/1017888
Therefore, the GCF of 52/32,464/69,184/922 is 4/1017888.
To find the highest common factor of 52,464,184, we have to find the factors of both numbers and list the highest common factor.
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184
The HCF of 52,464,184 is 4.
Lets's calculate GCF of 52,464,184
2 | 52, 464, 184 |
2 | 26, 232, 92 |
13, 116, 46 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Now, list down the factors of 184
:1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 52,464,184 . The biggest common factor number is the GCF number.
So the greatest common factor 52,464,184 is 4.
Lets's calculate LCM of 32,69,922
2 | 32, 69, 922 |
16, 69, 461 |
∴ So the LCM of the given numbers is 2 x 16 x 69 x 461 = 1017888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1017888
Therefore, the GCF of Fractions 52/32,464/69,184/922 is 4/1017888
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 32,69,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,69,922) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,69,922) x common factors =1 x 2 = 2
LCM(32,69,922) = ( 32 × 69 × 922 ) / 2
LCM(32,69,922) = 2035776 / 2
LCM(32,69,922) = 1017888
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 52,464,184?
The HCF of 52,464,184 is 4
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 52/32, 464/69, 184/922?
Answer: GCF of Numerators as per given numbers 52/32, 464/69, 184/922 is
GCF of Numerators i.e. for 52,464,184 is 4
LCM of denominators i.e. for 32,69,922 is 1017888.
Thus, GCF of Fractions is 4/1017888.Finally, GCF of Fractions for 52/32, 464/69, 184/922 is 4/1017888.