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GCF of 8005/214, 2879/180

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 8005/214, 2879/180 i.e 1/19260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8005/214, 2879/180.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8005/214,2879/180?

Given fractions are 8005/214,2879/180

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 8005/214,2879/180, numerators are 8005,2879

Denominators are 214,180

The GCF of 8005,2879 is 1 .

LCM of 214,180 is 19260.

The greatest common factor of 8005/214,2879/180 = [GCF of 8005,2879]/[LCM of 214,180]= 1/19260

Therefore, the GCF of 8005/214,2879/180 is 1/19260.

Greatest Common Factor of 8005,2879

To find the highest common factor of 8005,2879, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 2879 are 1, 2879

The HCF of 8005,2879 is 1.

Lets's calculate GCF of 8005,2879

Greatest Common Factor (GCF) of 8005,2879 By Common Division

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

Greatest Common Factor of 8005,2879 By Matching Biggest Common Factor Method

Greatest Common Factor of 8005,2879 By Matching Biggest Common Factor Method

Now, list down the factors of 8005

:

1,5,1601,8005

Now, list down the factors of 2879

:

1,2879

Greatest Common Factor

We found the factors 8005,2879 . The biggest common factor number is the GCF number.
So the greatest common factor 8005,2879 is 1.

Lets's calculate LCM of 214,180

Lowest Common Multiple of 214,180 using Common Division

2 214, 180
107, 90

∴ So the LCM of the given numbers is 2 x 107 x 90 = 19260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19260

Therefore, the GCF of Fractions 8005/214,2879/180 is 1/19260

Least Common Multiple of 214,180 with GCF Formula

Least Common Multiple of 214,180 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 214,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,180) = 2

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

GCF(214,180) x common factors =2 x 1 = 2

LCM(214,180) = ( 214 × 180 ) / 2

LCM(214,180) = 38520 / 2

LCM(214,180) = 19260


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FAQs on GCF of Fractions of 8005/214, 2879/180

1. What is the HCF of 8005,2879?

The HCF of 8005,2879 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 8005/214, 2879/180?

Answer: GCF of Numerators as per given numbers 8005/214, 2879/180 is

GCF of Numerators i.e. for 8005,2879 is 1

LCM of denominators i.e. for 214,180 is 19260.

Thus, GCF of Fractions is 1/19260.Finally, GCF of Fractions for 8005/214, 2879/180 is 1/19260.