Use our free GCF of Fractions Calculator tool to compute the GCF of 6228/953, 3048/4672 i.e 12/4452416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6228/953, 3048/4672.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6228/953,3048/4672
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 6228/953,3048/4672, numerators are 6228,3048
Denominators are 953,4672
The GCF of 6228,3048 is 12 .
LCM of 953,4672 is 4452416.
The greatest common factor of 6228/953,3048/4672 = [GCF of 6228,3048]/[LCM of 953,4672]= 12/4452416
Therefore, the GCF of 6228/953,3048/4672 is 12/4452416.
To find the highest common factor of 6228,3048, we have to find the factors of both numbers and list the highest common factor.
The factors of 6228 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 6228
The factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048
The HCF of 6228,3048 is 12.
Lets's calculate GCF of 6228,3048
2 | 6228, 3048 |
2 | 3114, 1524 |
3 | 1557, 762 |
519, 254 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 6228
:1,2,3,4,6,9,12,18,36,173,346,519,692,1038,1557,2076,3114,6228
Now, list down the factors of 3048
:1,2,3,4,6,8,12,24,127,254,381,508,762,1016,1524,3048
Greatest Common Factor
We found the factors 6228,3048 . The biggest common factor number is the GCF number.
So the greatest common factor 6228,3048 is 12.
Lets's calculate LCM of 953,4672
Given numbers has no common factors except 1. So, there LCM is their product i.e 4452416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4452416
Therefore, the GCF of Fractions 6228/953,3048/4672 is 12/4452416
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 953,4672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,4672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,4672) x common factors =1 x 1 = 1
LCM(953,4672) = ( 953 × 4672 ) / 1
LCM(953,4672) = 4452416 / 1
LCM(953,4672) = 4452416
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6228,3048?
The HCF of 6228,3048 is 12
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 6228/953, 3048/4672?
Answer: GCF of Numerators as per given numbers 6228/953, 3048/4672 is
GCF of Numerators i.e. for 6228,3048 is 12
LCM of denominators i.e. for 953,4672 is 4452416.
Thus, GCF of Fractions is 12/4452416.Finally, GCF of Fractions for 6228/953, 3048/4672 is 12/4452416.