How to Find GCF of 6571/243, 3641/7144?

GCF of 6571/243, 3641/7144

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 6571/243, 3641/7144 i.e 1/1735992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6571/243, 3641/7144.

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 6571/243,3641/7144?

Given fractions are 6571/243,3641/7144

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 6571/243,3641/7144, numerators are 6571,3641

Denominators are 243,7144

The GCF of 6571,3641 is 1 .

LCM of 243,7144 is 1735992.

The greatest common factor of 6571/243,3641/7144 = [GCF of 6571,3641]/[LCM of 243,7144]= 1/1735992

Therefore, the GCF of 6571/243,3641/7144 is 1/1735992.

Greatest Common Factor of 6571,3641

To find the highest common factor of 6571,3641, we have to find the factors of both numbers and list the highest common factor.

The factors of 6571 are 1, 6571

The factors of 3641 are 1, 11, 331, 3641

The HCF of 6571,3641 is 1.

Lets's calculate GCF of 6571,3641

Greatest Common Factor (GCF) of 6571,3641 By Common Division

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

Greatest Common Factor of 6571,3641 By Matching Biggest Common Factor Method

Now, list down the factors of 6571

1,6571

Now, list down the factors of 3641

1,11,331,3641

Greatest Common Factor

We found the factors 6571,3641 . The biggest common factor number is the GCF number.
So the greatest common factor 6571,3641 is 1.

Lets's calculate LCM of 243,7144

Lowest Common Multiple of 243,7144 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1735992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1735992

Therefore, the GCF of Fractions 6571/243,3641/7144 is 1/1735992

Least Common Multiple of 243,7144 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 243,7144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,7144) = 1

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

GCF(243,7144) x common factors =1 x 1 = 1

LCM(243,7144) = ( 243 × 7144 ) / 1

LCM(243,7144) = 1735992 / 1

LCM(243,7144) = 1735992

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FAQs on GCF of Fractions of 6571/243, 3641/7144

1. What is the HCF of 6571,3641?

The HCF of 6571,3641 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 6571/243, 3641/7144?

Answer: GCF of Numerators as per given numbers 6571/243, 3641/7144 is

GCF of Numerators i.e. for 6571,3641 is 1

LCM of denominators i.e. for 243,7144 is 1735992.

Thus, GCF of Fractions is 1/1735992.Finally, GCF of Fractions for 6571/243, 3641/7144 is 1/1735992.