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GCF of 6228/953, 3048/4672

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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

GCF of:

What is the GCF of 6228/953,3048/4672?

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.

Greatest Common Factor of 6228,3048

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

Greatest Common Factor (GCF) of 6228,3048 By Common Division

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

Greatest Common Factor of 6228,3048 By Matching Biggest Common Factor Method

Greatest Common Factor of 6228,3048 By Matching Biggest Common Factor Method

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

Lowest Common Multiple of 953,4672 using Common Division

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

Least Common Multiple of 953,4672 with GCF Formula

Least Common Multiple of 953,4672 with GCF Formula

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


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6228/953, 3048/4672

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.