How to Find GCF of 2843/538, 4471/7547?

GCF of 2843/538, 4471/7547

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 2843/538, 4471/7547 i.e 1/4060286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2843/538, 4471/7547.

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 2843/538,4471/7547?

Given fractions are 2843/538,4471/7547

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 2843/538,4471/7547, numerators are 2843,4471

Denominators are 538,7547

The GCF of 2843,4471 is 1 .

LCM of 538,7547 is 4060286.

The greatest common factor of 2843/538,4471/7547 = [GCF of 2843,4471]/[LCM of 538,7547]= 1/4060286

Therefore, the GCF of 2843/538,4471/7547 is 1/4060286.

Greatest Common Factor of 2843,4471

To find the highest common factor of 2843,4471, we have to find the factors of both numbers and list the highest common factor.

The factors of 2843 are 1, 2843

The factors of 4471 are 1, 17, 263, 4471

The HCF of 2843,4471 is 1.

Lets's calculate GCF of 2843,4471

Greatest Common Factor (GCF) of 2843,4471 By Common Division

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

Greatest Common Factor of 2843,4471 By Matching Biggest Common Factor Method

Now, list down the factors of 2843

1,2843

Now, list down the factors of 4471

1,17,263,4471

Greatest Common Factor

We found the factors 2843,4471 . The biggest common factor number is the GCF number.
So the greatest common factor 2843,4471 is 1.

Lets's calculate LCM of 538,7547

Lowest Common Multiple of 538,7547 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4060286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4060286

Therefore, the GCF of Fractions 2843/538,4471/7547 is 1/4060286

Least Common Multiple of 538,7547 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 538,7547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,7547) = 1

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

GCF(538,7547) x common factors =1 x 1 = 1

LCM(538,7547) = ( 538 × 7547 ) / 1

LCM(538,7547) = 4060286 / 1

LCM(538,7547) = 4060286

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FAQs on GCF of Fractions of 2843/538, 4471/7547

1. What is the HCF of 2843,4471?

The HCF of 2843,4471 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 2843/538, 4471/7547?

Answer: GCF of Numerators as per given numbers 2843/538, 4471/7547 is

GCF of Numerators i.e. for 2843,4471 is 1

LCM of denominators i.e. for 538,7547 is 4060286.

Thus, GCF of Fractions is 1/4060286.Finally, GCF of Fractions for 2843/538, 4471/7547 is 1/4060286.