How to Find GCF of 2305/648, 5289/3774?

GCF of 2305/648, 5289/3774

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 2305/648, 5289/3774 i.e 1/407592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2305/648, 5289/3774.

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 2305/648,5289/3774?

Given fractions are 2305/648,5289/3774

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 2305/648,5289/3774, numerators are 2305,5289

Denominators are 648,3774

The GCF of 2305,5289 is 1 .

LCM of 648,3774 is 407592.

The greatest common factor of 2305/648,5289/3774 = [GCF of 2305,5289]/[LCM of 648,3774]= 1/407592

Therefore, the GCF of 2305/648,5289/3774 is 1/407592.

Greatest Common Factor of 2305,5289

To find the highest common factor of 2305,5289, 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 5289 are 1, 3, 41, 43, 123, 129, 1763, 5289

The HCF of 2305,5289 is 1.

Lets's calculate GCF of 2305,5289

Greatest Common Factor (GCF) of 2305,5289 By Common Division

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

Greatest Common Factor of 2305,5289 By Matching Biggest Common Factor Method

Now, list down the factors of 2305

1,5,461,2305

Now, list down the factors of 5289

1,3,41,43,123,129,1763,5289

Greatest Common Factor

We found the factors 2305,5289 . The biggest common factor number is the GCF number.
So the greatest common factor 2305,5289 is 1.

Lets's calculate LCM of 648,3774

Lowest Common Multiple of 648,3774 using Common Division

2	648, 3774
3	324, 1887
	108, 629

∴ So the LCM of the given numbers is 2 x 3 x 108 x 629 = 407592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407592

Therefore, the GCF of Fractions 2305/648,5289/3774 is 1/407592

Least Common Multiple of 648,3774 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 648,3774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,3774) = 6

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

GCF(648,3774) x common factors =6 x 1 = 6

LCM(648,3774) = ( 648 × 3774 ) / 6

LCM(648,3774) = 2445552 / 6

LCM(648,3774) = 407592

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2305/648, 5289/3774

1. What is the HCF of 2305,5289?

The HCF of 2305,5289 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 2305/648, 5289/3774?

Answer: GCF of Numerators as per given numbers 2305/648, 5289/3774 is

GCF of Numerators i.e. for 2305,5289 is 1

LCM of denominators i.e. for 648,3774 is 407592.

Thus, GCF of Fractions is 1/407592.Finally, GCF of Fractions for 2305/648, 5289/3774 is 1/407592.