How to Find GCF of 6409/711, 8221/9061?

GCF of 6409/711, 8221/9061

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 6409/711, 8221/9061 i.e 1/6442371 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6409/711, 8221/9061.

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 6409/711,8221/9061?

Given fractions are 6409/711,8221/9061

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 6409/711,8221/9061, numerators are 6409,8221

Denominators are 711,9061

The GCF of 6409,8221 is 1 .

LCM of 711,9061 is 6442371.

The greatest common factor of 6409/711,8221/9061 = [GCF of 6409,8221]/[LCM of 711,9061]= 1/6442371

Therefore, the GCF of 6409/711,8221/9061 is 1/6442371.

Greatest Common Factor of 6409,8221

To find the highest common factor of 6409,8221, we have to find the factors of both numbers and list the highest common factor.

The factors of 6409 are 1, 13, 17, 29, 221, 377, 493, 6409

The factors of 8221 are 1, 8221

The HCF of 6409,8221 is 1.

Lets's calculate GCF of 6409,8221

Greatest Common Factor (GCF) of 6409,8221 By Common Division

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

Greatest Common Factor of 6409,8221 By Matching Biggest Common Factor Method

Now, list down the factors of 6409

1,13,17,29,221,377,493,6409

Now, list down the factors of 8221

1,8221

Greatest Common Factor

We found the factors 6409,8221 . The biggest common factor number is the GCF number.
So the greatest common factor 6409,8221 is 1.

Lets's calculate LCM of 711,9061

Lowest Common Multiple of 711,9061 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6442371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6442371

Therefore, the GCF of Fractions 6409/711,8221/9061 is 1/6442371

Least Common Multiple of 711,9061 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 711,9061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,9061) = 1

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

GCF(711,9061) x common factors =1 x 1 = 1

LCM(711,9061) = ( 711 × 9061 ) / 1

LCM(711,9061) = 6442371 / 1

LCM(711,9061) = 6442371

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FAQs on GCF of Fractions of 6409/711, 8221/9061

1. What is the HCF of 6409,8221?

The HCF of 6409,8221 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 6409/711, 8221/9061?

Answer: GCF of Numerators as per given numbers 6409/711, 8221/9061 is

GCF of Numerators i.e. for 6409,8221 is 1

LCM of denominators i.e. for 711,9061 is 6442371.

Thus, GCF of Fractions is 1/6442371.Finally, GCF of Fractions for 6409/711, 8221/9061 is 1/6442371.