Use our free GCF of Fractions Calculator tool to compute the GCF of 6528/240, 6176/3902 i.e 32/468240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6528/240, 6176/3902.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6528/240,6176/3902
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 6528/240,6176/3902, numerators are 6528,6176
Denominators are 240,3902
The GCF of 6528,6176 is 32 .
LCM of 240,3902 is 468240.
The greatest common factor of 6528/240,6176/3902 = [GCF of 6528,6176]/[LCM of 240,3902]= 32/468240
Therefore, the GCF of 6528/240,6176/3902 is 32/468240.
To find the highest common factor of 6528,6176, we have to find the factors of both numbers and list the highest common factor.
The factors of 6528 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528
The factors of 6176 are 1, 2, 4, 8, 16, 32, 193, 386, 772, 1544, 3088, 6176
The HCF of 6528,6176 is 32.
Lets's calculate GCF of 6528,6176
2 | 6528, 6176 |
2 | 3264, 3088 |
2 | 1632, 1544 |
2 | 816, 772 |
2 | 408, 386 |
204, 193 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Now, list down the factors of 6528
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528
Now, list down the factors of 6176
:1,2,4,8,16,32,193,386,772,1544,3088,6176
Greatest Common Factor
We found the factors 6528,6176 . The biggest common factor number is the GCF number.
So the greatest common factor 6528,6176 is 32.
Lets's calculate LCM of 240,3902
2 | 240, 3902 |
120, 1951 |
∴ So the LCM of the given numbers is 2 x 120 x 1951 = 468240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/468240
Therefore, the GCF of Fractions 6528/240,6176/3902 is 32/468240
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 240,3902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,3902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(240,3902) x common factors =2 x 1 = 2
LCM(240,3902) = ( 240 × 3902 ) / 2
LCM(240,3902) = 936480 / 2
LCM(240,3902) = 468240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6528,6176?
The HCF of 6528,6176 is 32
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 6528/240, 6176/3902?
Answer: GCF of Numerators as per given numbers 6528/240, 6176/3902 is
GCF of Numerators i.e. for 6528,6176 is 32
LCM of denominators i.e. for 240,3902 is 468240.
Thus, GCF of Fractions is 32/468240.Finally, GCF of Fractions for 6528/240, 6176/3902 is 32/468240.