How to Find GCF of 6819/929, 1322/802?

GCF of 6819/929, 1322/802

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 6819/929, 1322/802 i.e 1/745058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6819/929, 1322/802.

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 6819/929,1322/802?

Given fractions are 6819/929,1322/802

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 6819/929,1322/802, numerators are 6819,1322

Denominators are 929,802

The GCF of 6819,1322 is 1 .

LCM of 929,802 is 745058.

The greatest common factor of 6819/929,1322/802 = [GCF of 6819,1322]/[LCM of 929,802]= 1/745058

Therefore, the GCF of 6819/929,1322/802 is 1/745058.

Greatest Common Factor of 6819,1322

To find the highest common factor of 6819,1322, we have to find the factors of both numbers and list the highest common factor.

The factors of 6819 are 1, 3, 2273, 6819

The factors of 1322 are 1, 2, 661, 1322

The HCF of 6819,1322 is 1.

Lets's calculate GCF of 6819,1322

Greatest Common Factor (GCF) of 6819,1322 By Common Division

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

Greatest Common Factor of 6819,1322 By Matching Biggest Common Factor Method

Now, list down the factors of 6819

1,3,2273,6819

Now, list down the factors of 1322

1,2,661,1322

Greatest Common Factor

We found the factors 6819,1322 . The biggest common factor number is the GCF number.
So the greatest common factor 6819,1322 is 1.

Lets's calculate LCM of 929,802

Lowest Common Multiple of 929,802 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 745058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/745058

Therefore, the GCF of Fractions 6819/929,1322/802 is 1/745058

Least Common Multiple of 929,802 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 929,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,802) = 1

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

GCF(929,802) x common factors =1 x 1 = 1

LCM(929,802) = ( 929 × 802 ) / 1

LCM(929,802) = 745058 / 1

LCM(929,802) = 745058

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FAQs on GCF of Fractions of 6819/929, 1322/802

1. What is the HCF of 6819,1322?

The HCF of 6819,1322 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 6819/929, 1322/802?

Answer: GCF of Numerators as per given numbers 6819/929, 1322/802 is

GCF of Numerators i.e. for 6819,1322 is 1

LCM of denominators i.e. for 929,802 is 745058.

Thus, GCF of Fractions is 1/745058.Finally, GCF of Fractions for 6819/929, 1322/802 is 1/745058.