Use our free GCF of Fractions Calculator tool to compute the GCF of 5319/700, 5184/2654 i.e 27/928900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5319/700, 5184/2654.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5319/700,5184/2654
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 5319/700,5184/2654, numerators are 5319,5184
Denominators are 700,2654
The GCF of 5319,5184 is 27 .
LCM of 700,2654 is 928900.
The greatest common factor of 5319/700,5184/2654 = [GCF of 5319,5184]/[LCM of 700,2654]= 27/928900
Therefore, the GCF of 5319/700,5184/2654 is 27/928900.
To find the highest common factor of 5319,5184, we have to find the factors of both numbers and list the highest common factor.
The factors of 5319 are 1, 3, 9, 27, 197, 591, 1773, 5319
The factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184
The HCF of 5319,5184 is 27.
Lets's calculate GCF of 5319,5184
3 | 5319, 5184 |
3 | 1773, 1728 |
3 | 591, 576 |
197, 192 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Now, list down the factors of 5319
:1,3,9,27,197,591,1773,5319
Now, list down the factors of 5184
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,81,96,108,144,162,192,216,288,324,432,576,648,864,1296,1728,2592,5184
Greatest Common Factor
We found the factors 5319,5184 . The biggest common factor number is the GCF number.
So the greatest common factor 5319,5184 is 27.
Lets's calculate LCM of 700,2654
2 | 700, 2654 |
350, 1327 |
∴ So the LCM of the given numbers is 2 x 350 x 1327 = 928900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/928900
Therefore, the GCF of Fractions 5319/700,5184/2654 is 27/928900
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 700,2654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,2654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(700,2654) x common factors =2 x 1 = 2
LCM(700,2654) = ( 700 × 2654 ) / 2
LCM(700,2654) = 1857800 / 2
LCM(700,2654) = 928900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5319,5184?
The HCF of 5319,5184 is 27
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 5319/700, 5184/2654?
Answer: GCF of Numerators as per given numbers 5319/700, 5184/2654 is
GCF of Numerators i.e. for 5319,5184 is 27
LCM of denominators i.e. for 700,2654 is 928900.
Thus, GCF of Fractions is 27/928900.Finally, GCF of Fractions for 5319/700, 5184/2654 is 27/928900.