How to Find GCF of 6343/339, 8226/7213?

GCF of 6343/339, 8226/7213

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 6343/339, 8226/7213 i.e 1/2445207 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6343/339, 8226/7213.

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 6343/339,8226/7213?

Given fractions are 6343/339,8226/7213

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 6343/339,8226/7213, numerators are 6343,8226

Denominators are 339,7213

The GCF of 6343,8226 is 1 .

LCM of 339,7213 is 2445207.

The greatest common factor of 6343/339,8226/7213 = [GCF of 6343,8226]/[LCM of 339,7213]= 1/2445207

Therefore, the GCF of 6343/339,8226/7213 is 1/2445207.

Greatest Common Factor of 6343,8226

To find the highest common factor of 6343,8226, we have to find the factors of both numbers and list the highest common factor.

The factors of 6343 are 1, 6343

The factors of 8226 are 1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113, 8226

The HCF of 6343,8226 is 1.

Lets's calculate GCF of 6343,8226

Greatest Common Factor (GCF) of 6343,8226 By Common Division

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

Greatest Common Factor of 6343,8226 By Matching Biggest Common Factor Method

Now, list down the factors of 6343

1,6343

Now, list down the factors of 8226

1,2,3,6,9,18,457,914,1371,2742,4113,8226

Greatest Common Factor

We found the factors 6343,8226 . The biggest common factor number is the GCF number.
So the greatest common factor 6343,8226 is 1.

Lets's calculate LCM of 339,7213

Lowest Common Multiple of 339,7213 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2445207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2445207

Therefore, the GCF of Fractions 6343/339,8226/7213 is 1/2445207

Least Common Multiple of 339,7213 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 339,7213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,7213) = 1

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

GCF(339,7213) x common factors =1 x 1 = 1

LCM(339,7213) = ( 339 × 7213 ) / 1

LCM(339,7213) = 2445207 / 1

LCM(339,7213) = 2445207

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FAQs on GCF of Fractions of 6343/339, 8226/7213

1. What is the HCF of 6343,8226?

The HCF of 6343,8226 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 6343/339, 8226/7213?

Answer: GCF of Numerators as per given numbers 6343/339, 8226/7213 is

GCF of Numerators i.e. for 6343,8226 is 1

LCM of denominators i.e. for 339,7213 is 2445207.

Thus, GCF of Fractions is 1/2445207.Finally, GCF of Fractions for 6343/339, 8226/7213 is 1/2445207.