Use our free GCF of Fractions Calculator tool to compute the GCF of 2563/100, 7584/2856 i.e 1/71400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2563/100, 7584/2856.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2563/100,7584/2856
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 2563/100,7584/2856, numerators are 2563,7584
Denominators are 100,2856
The GCF of 2563,7584 is 1 .
LCM of 100,2856 is 71400.
The greatest common factor of 2563/100,7584/2856 = [GCF of 2563,7584]/[LCM of 100,2856]= 1/71400
Therefore, the GCF of 2563/100,7584/2856 is 1/71400.
To find the highest common factor of 2563,7584, we have to find the factors of both numbers and list the highest common factor.
The factors of 2563 are 1, 11, 233, 2563
The factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584
The HCF of 2563,7584 is 1.
Lets's calculate GCF of 2563,7584
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2563
:1,11,233,2563
Now, list down the factors of 7584
:1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584
Greatest Common Factor
We found the factors 2563,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 2563,7584 is 1.
Lets's calculate LCM of 100,2856
2 | 100, 2856 |
2 | 50, 1428 |
25, 714 |
∴ So the LCM of the given numbers is 2 x 2 x 25 x 714 = 71400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71400
Therefore, the GCF of Fractions 2563/100,7584/2856 is 1/71400
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 100,2856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,2856) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(100,2856) x common factors =4 x 1 = 4
LCM(100,2856) = ( 100 × 2856 ) / 4
LCM(100,2856) = 285600 / 4
LCM(100,2856) = 71400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2563,7584?
The HCF of 2563,7584 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 2563/100, 7584/2856?
Answer: GCF of Numerators as per given numbers 2563/100, 7584/2856 is
GCF of Numerators i.e. for 2563,7584 is 1
LCM of denominators i.e. for 100,2856 is 71400.
Thus, GCF of Fractions is 1/71400.Finally, GCF of Fractions for 2563/100, 7584/2856 is 1/71400.