How to Find GCF of 5841/164, 8005/6818?

GCF of 5841/164, 8005/6818

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 5841/164, 8005/6818 i.e 1/559076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5841/164, 8005/6818.

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 5841/164,8005/6818?

Given fractions are 5841/164,8005/6818

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 5841/164,8005/6818, numerators are 5841,8005

Denominators are 164,6818

The GCF of 5841,8005 is 1 .

LCM of 164,6818 is 559076.

The greatest common factor of 5841/164,8005/6818 = [GCF of 5841,8005]/[LCM of 164,6818]= 1/559076

Therefore, the GCF of 5841/164,8005/6818 is 1/559076.

Greatest Common Factor of 5841,8005

To find the highest common factor of 5841,8005, we have to find the factors of both numbers and list the highest common factor.

The factors of 5841 are 1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841

The factors of 8005 are 1, 5, 1601, 8005

The HCF of 5841,8005 is 1.

Lets's calculate GCF of 5841,8005

Greatest Common Factor (GCF) of 5841,8005 By Common Division

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

Greatest Common Factor of 5841,8005 By Matching Biggest Common Factor Method

Now, list down the factors of 5841

1,3,9,11,33,59,99,177,531,649,1947,5841

Now, list down the factors of 8005

1,5,1601,8005

Greatest Common Factor

We found the factors 5841,8005 . The biggest common factor number is the GCF number.
So the greatest common factor 5841,8005 is 1.

Lets's calculate LCM of 164,6818

Lowest Common Multiple of 164,6818 using Common Division

2	164, 6818
	82, 3409

∴ So the LCM of the given numbers is 2 x 82 x 3409 = 559076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559076

Therefore, the GCF of Fractions 5841/164,8005/6818 is 1/559076

Least Common Multiple of 164,6818 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 164,6818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,6818) = 2

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

GCF(164,6818) x common factors =2 x 1 = 2

LCM(164,6818) = ( 164 × 6818 ) / 2

LCM(164,6818) = 1118152 / 2

LCM(164,6818) = 559076

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FAQs on GCF of Fractions of 5841/164, 8005/6818

1. What is the HCF of 5841,8005?

The HCF of 5841,8005 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 5841/164, 8005/6818?

Answer: GCF of Numerators as per given numbers 5841/164, 8005/6818 is

GCF of Numerators i.e. for 5841,8005 is 1

LCM of denominators i.e. for 164,6818 is 559076.

Thus, GCF of Fractions is 1/559076.Finally, GCF of Fractions for 5841/164, 8005/6818 is 1/559076.