Use our free GCF of Fractions Calculator tool to compute the GCF of 28/935, 461/580, 872/924 i.e 1/2277660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/935, 461/580, 872/924.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/935,461/580,872/924
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 28/935,461/580,872/924, numerators are 28,461,872
Denominators are 935,580,924
The GCF of 28,461,872 is 1 .
LCM of 935,580,924 is 2277660.
The greatest common factor of 28/935,461/580,872/924 = [GCF of 28,461,872]/[LCM of 935,580,924]= 1/2277660
Therefore, the GCF of 28/935,461/580,872/924 is 1/2277660.
To find the highest common factor of 28,461,872, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 461 are 1, 461
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The HCF of 28,461,872 is 1.
Lets's calculate GCF of 28,461,872
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 461
:1,461
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 28,461,872 . The biggest common factor number is the GCF number.
So the greatest common factor 28,461,872 is 1.
Lets's calculate LCM of 935,580,924
2 | 935, 580, 924 |
2 | 935, 290, 462 |
5 | 935, 145, 231 |
11 | 187, 29, 231 |
17, 29, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 17 x 29 x 21 = 2277660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2277660
Therefore, the GCF of Fractions 28/935,461/580,872/924 is 1/2277660
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 935,580,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,580,924) = 1
common factors(in case of two or more numbers have common factors) = 220
GCF(935,580,924) x common factors =1 x 220 = 220
LCM(935,580,924) = ( 935 × 580 × 924 ) / 220
LCM(935,580,924) = 501085200 / 220
LCM(935,580,924) = 2277660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,461,872?
The HCF of 28,461,872 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 28/935, 461/580, 872/924?
Answer: GCF of Numerators as per given numbers 28/935, 461/580, 872/924 is
GCF of Numerators i.e. for 28,461,872 is 1
LCM of denominators i.e. for 935,580,924 is 2277660.
Thus, GCF of Fractions is 1/2277660.Finally, GCF of Fractions for 28/935, 461/580, 872/924 is 1/2277660.