How to Find GCF of 8219/979, 2133/6853?

GCF of 8219/979, 2133/6853

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 8219/979, 2133/6853 i.e 1/6853 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8219/979, 2133/6853.

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 8219/979,2133/6853?

Given fractions are 8219/979,2133/6853

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 8219/979,2133/6853, numerators are 8219,2133

Denominators are 979,6853

The GCF of 8219,2133 is 1 .

LCM of 979,6853 is 6853.

The greatest common factor of 8219/979,2133/6853 = [GCF of 8219,2133]/[LCM of 979,6853]= 1/6853

Therefore, the GCF of 8219/979,2133/6853 is 1/6853.

Greatest Common Factor of 8219,2133

To find the highest common factor of 8219,2133, we have to find the factors of both numbers and list the highest common factor.

The factors of 8219 are 1, 8219

The factors of 2133 are 1, 3, 9, 27, 79, 237, 711, 2133

The HCF of 8219,2133 is 1.

Lets's calculate GCF of 8219,2133

Greatest Common Factor (GCF) of 8219,2133 By Common Division

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

Greatest Common Factor of 8219,2133 By Matching Biggest Common Factor Method

Now, list down the factors of 8219

1,8219

Now, list down the factors of 2133

1,3,9,27,79,237,711,2133

Greatest Common Factor

We found the factors 8219,2133 . The biggest common factor number is the GCF number.
So the greatest common factor 8219,2133 is 1.

Lets's calculate LCM of 979,6853

Lowest Common Multiple of 979,6853 using Common Division

11	979, 6853
89	89, 623
	1, 7

∴ So the LCM of the given numbers is 11 x 89 x 1 x 7 = 6853

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6853

Therefore, the GCF of Fractions 8219/979,2133/6853 is 1/6853

Least Common Multiple of 979,6853 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 979,6853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(979,6853) = 979

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

GCF(979,6853) x common factors =979 x 1 = 979

LCM(979,6853) = ( 979 × 6853 ) / 979

LCM(979,6853) = 6709087 / 979

LCM(979,6853) = 6853

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FAQs on GCF of Fractions of 8219/979, 2133/6853

1. What is the HCF of 8219,2133?

The HCF of 8219,2133 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 8219/979, 2133/6853?

Answer: GCF of Numerators as per given numbers 8219/979, 2133/6853 is

GCF of Numerators i.e. for 8219,2133 is 1

LCM of denominators i.e. for 979,6853 is 6853.

Thus, GCF of Fractions is 1/6853.Finally, GCF of Fractions for 8219/979, 2133/6853 is 1/6853.