How to Find GCF of 2457/204, 8353/2048?

GCF of 2457/204, 8353/2048

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 2457/204, 8353/2048 i.e 1/104448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2457/204, 8353/2048.

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 2457/204,8353/2048?

Given fractions are 2457/204,8353/2048

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 2457/204,8353/2048, numerators are 2457,8353

Denominators are 204,2048

The GCF of 2457,8353 is 1 .

LCM of 204,2048 is 104448.

The greatest common factor of 2457/204,8353/2048 = [GCF of 2457,8353]/[LCM of 204,2048]= 1/104448

Therefore, the GCF of 2457/204,8353/2048 is 1/104448.

Greatest Common Factor of 2457,8353

To find the highest common factor of 2457,8353, we have to find the factors of both numbers and list the highest common factor.

The factors of 2457 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819, 2457

The factors of 8353 are 1, 8353

The HCF of 2457,8353 is 1.

Lets's calculate GCF of 2457,8353

Greatest Common Factor (GCF) of 2457,8353 By Common Division

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

Greatest Common Factor of 2457,8353 By Matching Biggest Common Factor Method

Now, list down the factors of 2457

1,3,7,9,13,21,27,39,63,91,117,189,273,351,819,2457

Now, list down the factors of 8353

1,8353

Greatest Common Factor

We found the factors 2457,8353 . The biggest common factor number is the GCF number.
So the greatest common factor 2457,8353 is 1.

Lets's calculate LCM of 204,2048

Lowest Common Multiple of 204,2048 using Common Division

2	204, 2048
2	102, 1024
	51, 512

∴ So the LCM of the given numbers is 2 x 2 x 51 x 512 = 104448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104448

Therefore, the GCF of Fractions 2457/204,8353/2048 is 1/104448

Least Common Multiple of 204,2048 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 204,2048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,2048) = 4

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

GCF(204,2048) x common factors =4 x 1 = 4

LCM(204,2048) = ( 204 × 2048 ) / 4

LCM(204,2048) = 417792 / 4

LCM(204,2048) = 104448

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FAQs on GCF of Fractions of 2457/204, 8353/2048

1. What is the HCF of 2457,8353?

The HCF of 2457,8353 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 2457/204, 8353/2048?

Answer: GCF of Numerators as per given numbers 2457/204, 8353/2048 is

GCF of Numerators i.e. for 2457,8353 is 1

LCM of denominators i.e. for 204,2048 is 104448.

Thus, GCF of Fractions is 1/104448.Finally, GCF of Fractions for 2457/204, 8353/2048 is 1/104448.