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GCF of 6861/271, 1671/1645

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 6861/271, 1671/1645 i.e 3/445795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6861/271, 1671/1645.

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 6861/271,1671/1645?

Given fractions are 6861/271,1671/1645

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 6861/271,1671/1645, numerators are 6861,1671

Denominators are 271,1645

The GCF of 6861,1671 is 3 .

LCM of 271,1645 is 445795.

The greatest common factor of 6861/271,1671/1645 = [GCF of 6861,1671]/[LCM of 271,1645]= 3/445795

Therefore, the GCF of 6861/271,1671/1645 is 3/445795.

Greatest Common Factor of 6861,1671

To find the highest common factor of 6861,1671, we have to find the factors of both numbers and list the highest common factor.

The factors of 6861 are 1, 3, 2287, 6861

The factors of 1671 are 1, 3, 557, 1671

The HCF of 6861,1671 is 3.

Lets's calculate GCF of 6861,1671

Greatest Common Factor (GCF) of 6861,1671 By Common Division

3 6861, 1671
2287, 557

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6861,1671 By Matching Biggest Common Factor Method

Greatest Common Factor of 6861,1671 By Matching Biggest Common Factor Method

Now, list down the factors of 6861

:

1,3,2287,6861

Now, list down the factors of 1671

:

1,3,557,1671

Greatest Common Factor

We found the factors 6861,1671 . The biggest common factor number is the GCF number.
So the greatest common factor 6861,1671 is 3.


Lets's calculate LCM of 271,1645

Lowest Common Multiple of 271,1645 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 445795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/445795

Therefore, the GCF of Fractions 6861/271,1671/1645 is 3/445795

Least Common Multiple of 271,1645 with GCF Formula

Least Common Multiple of 271,1645 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 271,1645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,1645) = 1

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

GCF(271,1645) x common factors =1 x 1 = 1

LCM(271,1645) = ( 271 × 1645 ) / 1

LCM(271,1645) = 445795 / 1

LCM(271,1645) = 445795


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6861/271, 1671/1645

1. What is the HCF of 6861,1671?

The HCF of 6861,1671 is 3

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 6861/271, 1671/1645?

Answer: GCF of Numerators as per given numbers 6861/271, 1671/1645 is

GCF of Numerators i.e. for 6861,1671 is 3

LCM of denominators i.e. for 271,1645 is 445795.

Thus, GCF of Fractions is 3/445795.Finally, GCF of Fractions for 6861/271, 1671/1645 is 3/445795.