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GCF of 8683/293, 5421/1024

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 8683/293, 5421/1024 i.e 1/300032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8683/293, 5421/1024.

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 8683/293,5421/1024?

Given fractions are 8683/293,5421/1024

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 8683/293,5421/1024, numerators are 8683,5421

Denominators are 293,1024

The GCF of 8683,5421 is 1 .

LCM of 293,1024 is 300032.

The greatest common factor of 8683/293,5421/1024 = [GCF of 8683,5421]/[LCM of 293,1024]= 1/300032

Therefore, the GCF of 8683/293,5421/1024 is 1/300032.

Greatest Common Factor of 8683,5421

To find the highest common factor of 8683,5421, we have to find the factors of both numbers and list the highest common factor.

The factors of 8683 are 1, 19, 457, 8683

The factors of 5421 are 1, 3, 13, 39, 139, 417, 1807, 5421

The HCF of 8683,5421 is 1.

Lets's calculate GCF of 8683,5421

Greatest Common Factor (GCF) of 8683,5421 By Common Division

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

Greatest Common Factor of 8683,5421 By Matching Biggest Common Factor Method

Greatest Common Factor of 8683,5421 By Matching Biggest Common Factor Method

Now, list down the factors of 8683

:

1,19,457,8683

Now, list down the factors of 5421

:

1,3,13,39,139,417,1807,5421

Greatest Common Factor

We found the factors 8683,5421 . The biggest common factor number is the GCF number.
So the greatest common factor 8683,5421 is 1.


Lets's calculate LCM of 293,1024

Lowest Common Multiple of 293,1024 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 300032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300032

Therefore, the GCF of Fractions 8683/293,5421/1024 is 1/300032

Least Common Multiple of 293,1024 with GCF Formula

Least Common Multiple of 293,1024 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 293,1024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,1024) = 1

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

GCF(293,1024) x common factors =1 x 1 = 1

LCM(293,1024) = ( 293 × 1024 ) / 1

LCM(293,1024) = 300032 / 1

LCM(293,1024) = 300032


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8683/293, 5421/1024

1. What is the HCF of 8683,5421?

The HCF of 8683,5421 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 8683/293, 5421/1024?

Answer: GCF of Numerators as per given numbers 8683/293, 5421/1024 is

GCF of Numerators i.e. for 8683,5421 is 1

LCM of denominators i.e. for 293,1024 is 300032.

Thus, GCF of Fractions is 1/300032.Finally, GCF of Fractions for 8683/293, 5421/1024 is 1/300032.