How to Find GCF of 8189/395, 9073/6859?

GCF of 8189/395, 9073/6859

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 8189/395, 9073/6859 i.e 1/2709305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8189/395, 9073/6859.

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 8189/395,9073/6859?

Given fractions are 8189/395,9073/6859

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 8189/395,9073/6859, numerators are 8189,9073

Denominators are 395,6859

The GCF of 8189,9073 is 1 .

LCM of 395,6859 is 2709305.

The greatest common factor of 8189/395,9073/6859 = [GCF of 8189,9073]/[LCM of 395,6859]= 1/2709305

Therefore, the GCF of 8189/395,9073/6859 is 1/2709305.

Greatest Common Factor of 8189,9073

To find the highest common factor of 8189,9073, we have to find the factors of both numbers and list the highest common factor.

The factors of 8189 are 1, 19, 431, 8189

The factors of 9073 are 1, 43, 211, 9073

The HCF of 8189,9073 is 1.

Lets's calculate GCF of 8189,9073

Greatest Common Factor (GCF) of 8189,9073 By Common Division

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

Greatest Common Factor of 8189,9073 By Matching Biggest Common Factor Method

Now, list down the factors of 8189

1,19,431,8189

Now, list down the factors of 9073

1,43,211,9073

Greatest Common Factor

We found the factors 8189,9073 . The biggest common factor number is the GCF number.
So the greatest common factor 8189,9073 is 1.

Lets's calculate LCM of 395,6859

Lowest Common Multiple of 395,6859 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2709305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2709305

Therefore, the GCF of Fractions 8189/395,9073/6859 is 1/2709305

Least Common Multiple of 395,6859 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 395,6859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,6859) = 1

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

GCF(395,6859) x common factors =1 x 1 = 1

LCM(395,6859) = ( 395 × 6859 ) / 1

LCM(395,6859) = 2709305 / 1

LCM(395,6859) = 2709305

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FAQs on GCF of Fractions of 8189/395, 9073/6859

1. What is the HCF of 8189,9073?

The HCF of 8189,9073 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 8189/395, 9073/6859?

Answer: GCF of Numerators as per given numbers 8189/395, 9073/6859 is

GCF of Numerators i.e. for 8189,9073 is 1

LCM of denominators i.e. for 395,6859 is 2709305.

Thus, GCF of Fractions is 1/2709305.Finally, GCF of Fractions for 8189/395, 9073/6859 is 1/2709305.