How to Find GCF of 8243/470, 6436/4083?

GCF of 8243/470, 6436/4083

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 8243/470, 6436/4083 i.e 1/1919010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8243/470, 6436/4083.

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 8243/470,6436/4083?

Given fractions are 8243/470,6436/4083

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 8243/470,6436/4083, numerators are 8243,6436

Denominators are 470,4083

The GCF of 8243,6436 is 1 .

LCM of 470,4083 is 1919010.

The greatest common factor of 8243/470,6436/4083 = [GCF of 8243,6436]/[LCM of 470,4083]= 1/1919010

Therefore, the GCF of 8243/470,6436/4083 is 1/1919010.

Greatest Common Factor of 8243,6436

To find the highest common factor of 8243,6436, we have to find the factors of both numbers and list the highest common factor.

The factors of 8243 are 1, 8243

The factors of 6436 are 1, 2, 4, 1609, 3218, 6436

The HCF of 8243,6436 is 1.

Lets's calculate GCF of 8243,6436

Greatest Common Factor (GCF) of 8243,6436 By Common Division

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

Greatest Common Factor of 8243,6436 By Matching Biggest Common Factor Method

Now, list down the factors of 8243

1,8243

Now, list down the factors of 6436

1,2,4,1609,3218,6436

Greatest Common Factor

We found the factors 8243,6436 . The biggest common factor number is the GCF number.
So the greatest common factor 8243,6436 is 1.

Lets's calculate LCM of 470,4083

Lowest Common Multiple of 470,4083 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1919010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1919010

Therefore, the GCF of Fractions 8243/470,6436/4083 is 1/1919010

Least Common Multiple of 470,4083 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 470,4083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,4083) = 1

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

GCF(470,4083) x common factors =1 x 1 = 1

LCM(470,4083) = ( 470 × 4083 ) / 1

LCM(470,4083) = 1919010 / 1

LCM(470,4083) = 1919010

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FAQs on GCF of Fractions of 8243/470, 6436/4083

1. What is the HCF of 8243,6436?

The HCF of 8243,6436 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 8243/470, 6436/4083?

Answer: GCF of Numerators as per given numbers 8243/470, 6436/4083 is

GCF of Numerators i.e. for 8243,6436 is 1

LCM of denominators i.e. for 470,4083 is 1919010.

Thus, GCF of Fractions is 1/1919010.Finally, GCF of Fractions for 8243/470, 6436/4083 is 1/1919010.