How to Find GCF of 3832/666, 8069/5409?

GCF of 3832/666, 8069/5409

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 3832/666, 8069/5409 i.e 1/400266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3832/666, 8069/5409.

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 3832/666,8069/5409?

Given fractions are 3832/666,8069/5409

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 3832/666,8069/5409, numerators are 3832,8069

Denominators are 666,5409

The GCF of 3832,8069 is 1 .

LCM of 666,5409 is 400266.

The greatest common factor of 3832/666,8069/5409 = [GCF of 3832,8069]/[LCM of 666,5409]= 1/400266

Therefore, the GCF of 3832/666,8069/5409 is 1/400266.

Greatest Common Factor of 3832,8069

To find the highest common factor of 3832,8069, we have to find the factors of both numbers and list the highest common factor.

The factors of 3832 are 1, 2, 4, 8, 479, 958, 1916, 3832

The factors of 8069 are 1, 8069

The HCF of 3832,8069 is 1.

Lets's calculate GCF of 3832,8069

Greatest Common Factor (GCF) of 3832,8069 By Common Division

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

Greatest Common Factor of 3832,8069 By Matching Biggest Common Factor Method

Now, list down the factors of 3832

1,2,4,8,479,958,1916,3832

Now, list down the factors of 8069

1,8069

Greatest Common Factor

We found the factors 3832,8069 . The biggest common factor number is the GCF number.
So the greatest common factor 3832,8069 is 1.

Lets's calculate LCM of 666,5409

Lowest Common Multiple of 666,5409 using Common Division

3	666, 5409
3	222, 1803
	74, 601

∴ So the LCM of the given numbers is 3 x 3 x 74 x 601 = 400266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400266

Therefore, the GCF of Fractions 3832/666,8069/5409 is 1/400266

Least Common Multiple of 666,5409 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 666,5409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,5409) = 9

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

GCF(666,5409) x common factors =9 x 1 = 9

LCM(666,5409) = ( 666 × 5409 ) / 9

LCM(666,5409) = 3602394 / 9

LCM(666,5409) = 400266

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FAQs on GCF of Fractions of 3832/666, 8069/5409

1. What is the HCF of 3832,8069?

The HCF of 3832,8069 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 3832/666, 8069/5409?

Answer: GCF of Numerators as per given numbers 3832/666, 8069/5409 is

GCF of Numerators i.e. for 3832,8069 is 1

LCM of denominators i.e. for 666,5409 is 400266.

Thus, GCF of Fractions is 1/400266.Finally, GCF of Fractions for 3832/666, 8069/5409 is 1/400266.