How to Find GCF of 5743/649, 5271/9748?

GCF of 5743/649, 5271/9748

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 5743/649, 5271/9748 i.e 1/6326452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5743/649, 5271/9748.

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 5743/649,5271/9748?

Given fractions are 5743/649,5271/9748

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 5743/649,5271/9748, numerators are 5743,5271

Denominators are 649,9748

The GCF of 5743,5271 is 1 .

LCM of 649,9748 is 6326452.

The greatest common factor of 5743/649,5271/9748 = [GCF of 5743,5271]/[LCM of 649,9748]= 1/6326452

Therefore, the GCF of 5743/649,5271/9748 is 1/6326452.

Greatest Common Factor of 5743,5271

To find the highest common factor of 5743,5271, we have to find the factors of both numbers and list the highest common factor.

The factors of 5743 are 1, 5743

The factors of 5271 are 1, 3, 7, 21, 251, 753, 1757, 5271

The HCF of 5743,5271 is 1.

Lets's calculate GCF of 5743,5271

Greatest Common Factor (GCF) of 5743,5271 By Common Division

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

Greatest Common Factor of 5743,5271 By Matching Biggest Common Factor Method

Now, list down the factors of 5743

1,5743

Now, list down the factors of 5271

1,3,7,21,251,753,1757,5271

Greatest Common Factor

We found the factors 5743,5271 . The biggest common factor number is the GCF number.
So the greatest common factor 5743,5271 is 1.

Lets's calculate LCM of 649,9748

Lowest Common Multiple of 649,9748 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6326452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6326452

Therefore, the GCF of Fractions 5743/649,5271/9748 is 1/6326452

Least Common Multiple of 649,9748 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 649,9748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,9748) = 1

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

GCF(649,9748) x common factors =1 x 1 = 1

LCM(649,9748) = ( 649 × 9748 ) / 1

LCM(649,9748) = 6326452 / 1

LCM(649,9748) = 6326452

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FAQs on GCF of Fractions of 5743/649, 5271/9748

1. What is the HCF of 5743,5271?

The HCF of 5743,5271 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 5743/649, 5271/9748?

Answer: GCF of Numerators as per given numbers 5743/649, 5271/9748 is

GCF of Numerators i.e. for 5743,5271 is 1

LCM of denominators i.e. for 649,9748 is 6326452.

Thus, GCF of Fractions is 1/6326452.Finally, GCF of Fractions for 5743/649, 5271/9748 is 1/6326452.