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GCF of 6154/384, 2010/789

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 6154/384, 2010/789 i.e 2/100992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6154/384, 2010/789.

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 6154/384,2010/789?

Given fractions are 6154/384,2010/789

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 6154/384,2010/789, numerators are 6154,2010

Denominators are 384,789

The GCF of 6154,2010 is 2 .

LCM of 384,789 is 100992.

The greatest common factor of 6154/384,2010/789 = [GCF of 6154,2010]/[LCM of 384,789]= 2/100992

Therefore, the GCF of 6154/384,2010/789 is 2/100992.

Greatest Common Factor of 6154,2010

To find the highest common factor of 6154,2010, we have to find the factors of both numbers and list the highest common factor.

The factors of 6154 are 1, 2, 17, 34, 181, 362, 3077, 6154

The factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010

The HCF of 6154,2010 is 2.

Lets's calculate GCF of 6154,2010

Greatest Common Factor (GCF) of 6154,2010 By Common Division

2 6154, 2010
3077, 1005

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6154,2010 By Matching Biggest Common Factor Method

Greatest Common Factor of 6154,2010 By Matching Biggest Common Factor Method

Now, list down the factors of 6154

:

1,2,17,34,181,362,3077,6154

Now, list down the factors of 2010

:

1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010

Greatest Common Factor

We found the factors 6154,2010 . The biggest common factor number is the GCF number.
So the greatest common factor 6154,2010 is 2.


Lets's calculate LCM of 384,789

Lowest Common Multiple of 384,789 using Common Division

3 384, 789
128, 263

∴ So the LCM of the given numbers is 3 x 128 x 263 = 100992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100992

Therefore, the GCF of Fractions 6154/384,2010/789 is 2/100992

Least Common Multiple of 384,789 with GCF Formula

Least Common Multiple of 384,789 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 384,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,789) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(384,789) x common factors =3 x 1 = 3

LCM(384,789) = ( 384 × 789 ) / 3

LCM(384,789) = 302976 / 3

LCM(384,789) = 100992


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6154/384, 2010/789

1. What is the HCF of 6154,2010?

The HCF of 6154,2010 is 2

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 6154/384, 2010/789?

Answer: GCF of Numerators as per given numbers 6154/384, 2010/789 is

GCF of Numerators i.e. for 6154,2010 is 2

LCM of denominators i.e. for 384,789 is 100992.

Thus, GCF of Fractions is 2/100992.Finally, GCF of Fractions for 6154/384, 2010/789 is 2/100992.