How to Find GCF of 2305/792, 8698/4326?

GCF of 2305/792, 8698/4326

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 2305/792, 8698/4326 i.e 1/571032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2305/792, 8698/4326.

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 2305/792,8698/4326?

Given fractions are 2305/792,8698/4326

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 2305/792,8698/4326, numerators are 2305,8698

Denominators are 792,4326

The GCF of 2305,8698 is 1 .

LCM of 792,4326 is 571032.

The greatest common factor of 2305/792,8698/4326 = [GCF of 2305,8698]/[LCM of 792,4326]= 1/571032

Therefore, the GCF of 2305/792,8698/4326 is 1/571032.

Greatest Common Factor of 2305,8698

To find the highest common factor of 2305,8698, we have to find the factors of both numbers and list the highest common factor.

The factors of 2305 are 1, 5, 461, 2305

The factors of 8698 are 1, 2, 4349, 8698

The HCF of 2305,8698 is 1.

Lets's calculate GCF of 2305,8698

Greatest Common Factor (GCF) of 2305,8698 By Common Division

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

Greatest Common Factor of 2305,8698 By Matching Biggest Common Factor Method

Now, list down the factors of 2305

1,5,461,2305

Now, list down the factors of 8698

1,2,4349,8698

Greatest Common Factor

We found the factors 2305,8698 . The biggest common factor number is the GCF number.
So the greatest common factor 2305,8698 is 1.

Lets's calculate LCM of 792,4326

Lowest Common Multiple of 792,4326 using Common Division

2	792, 4326
3	396, 2163
	132, 721

∴ So the LCM of the given numbers is 2 x 3 x 132 x 721 = 571032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/571032

Therefore, the GCF of Fractions 2305/792,8698/4326 is 1/571032

Least Common Multiple of 792,4326 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 792,4326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,4326) = 6

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

GCF(792,4326) x common factors =6 x 1 = 6

LCM(792,4326) = ( 792 × 4326 ) / 6

LCM(792,4326) = 3426192 / 6

LCM(792,4326) = 571032

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FAQs on GCF of Fractions of 2305/792, 8698/4326

1. What is the HCF of 2305,8698?

The HCF of 2305,8698 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 2305/792, 8698/4326?

Answer: GCF of Numerators as per given numbers 2305/792, 8698/4326 is

GCF of Numerators i.e. for 2305,8698 is 1

LCM of denominators i.e. for 792,4326 is 571032.

Thus, GCF of Fractions is 1/571032.Finally, GCF of Fractions for 2305/792, 8698/4326 is 1/571032.