How to Find GCF of 2673/431, 4511/6441?

GCF of 2673/431, 4511/6441

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 2673/431, 4511/6441 i.e 1/2776071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2673/431, 4511/6441.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2673/431,4511/6441?

Given fractions are 2673/431,4511/6441

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 2673/431,4511/6441, numerators are 2673,4511

Denominators are 431,6441

The GCF of 2673,4511 is 1 .

LCM of 431,6441 is 2776071.

The greatest common factor of 2673/431,4511/6441 = [GCF of 2673,4511]/[LCM of 431,6441]= 1/2776071

Therefore, the GCF of 2673/431,4511/6441 is 1/2776071.

Greatest Common Factor of 2673,4511

To find the highest common factor of 2673,4511, we have to find the factors of both numbers and list the highest common factor.

The factors of 2673 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673

The factors of 4511 are 1, 13, 347, 4511

The HCF of 2673,4511 is 1.

Lets's calculate GCF of 2673,4511

Greatest Common Factor (GCF) of 2673,4511 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2673,4511 By Matching Biggest Common Factor Method

Now, list down the factors of 2673

1,3,9,11,27,33,81,99,243,297,891,2673

Now, list down the factors of 4511

1,13,347,4511

Greatest Common Factor

We found the factors 2673,4511 . The biggest common factor number is the GCF number.
So the greatest common factor 2673,4511 is 1.

Lets's calculate LCM of 431,6441

Lowest Common Multiple of 431,6441 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2776071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2776071

Therefore, the GCF of Fractions 2673/431,4511/6441 is 1/2776071

Least Common Multiple of 431,6441 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 431,6441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,6441) = 1

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

GCF(431,6441) x common factors =1 x 1 = 1

LCM(431,6441) = ( 431 × 6441 ) / 1

LCM(431,6441) = 2776071 / 1

LCM(431,6441) = 2776071

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FAQs on GCF of Fractions of 2673/431, 4511/6441

1. What is the HCF of 2673,4511?

The HCF of 2673,4511 is 1

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 2673/431, 4511/6441?

Answer: GCF of Numerators as per given numbers 2673/431, 4511/6441 is

GCF of Numerators i.e. for 2673,4511 is 1

LCM of denominators i.e. for 431,6441 is 2776071.

Thus, GCF of Fractions is 1/2776071.Finally, GCF of Fractions for 2673/431, 4511/6441 is 1/2776071.