Use our free GCF of Fractions Calculator tool to compute the GCF of 4472/558, 7752/2262 i.e 8/210366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4472/558, 7752/2262.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4472/558,7752/2262
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 4472/558,7752/2262, numerators are 4472,7752
Denominators are 558,2262
The GCF of 4472,7752 is 8 .
LCM of 558,2262 is 210366.
The greatest common factor of 4472/558,7752/2262 = [GCF of 4472,7752]/[LCM of 558,2262]= 8/210366
Therefore, the GCF of 4472/558,7752/2262 is 8/210366.
To find the highest common factor of 4472,7752, we have to find the factors of both numbers and list the highest common factor.
The factors of 4472 are 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472
The factors of 7752 are 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752
The HCF of 4472,7752 is 8.
Lets's calculate GCF of 4472,7752
2 | 4472, 7752 |
2 | 2236, 3876 |
2 | 1118, 1938 |
559, 969 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 4472
:1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472
Now, list down the factors of 7752
:1,2,3,4,6,8,12,17,19,24,34,38,51,57,68,76,102,114,136,152,204,228,323,408,456,646,969,1292,1938,2584,3876,7752
Greatest Common Factor
We found the factors 4472,7752 . The biggest common factor number is the GCF number.
So the greatest common factor 4472,7752 is 8.
Lets's calculate LCM of 558,2262
2 | 558, 2262 |
3 | 279, 1131 |
93, 377 |
∴ So the LCM of the given numbers is 2 x 3 x 93 x 377 = 210366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/210366
Therefore, the GCF of Fractions 4472/558,7752/2262 is 8/210366
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 558,2262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,2262) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(558,2262) x common factors =6 x 1 = 6
LCM(558,2262) = ( 558 × 2262 ) / 6
LCM(558,2262) = 1262196 / 6
LCM(558,2262) = 210366
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4472,7752?
The HCF of 4472,7752 is 8
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 4472/558, 7752/2262?
Answer: GCF of Numerators as per given numbers 4472/558, 7752/2262 is
GCF of Numerators i.e. for 4472,7752 is 8
LCM of denominators i.e. for 558,2262 is 210366.
Thus, GCF of Fractions is 8/210366.Finally, GCF of Fractions for 4472/558, 7752/2262 is 8/210366.