How to Find GCF of 2909/450, 7005/1744?

GCF of 2909/450, 7005/1744

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 2909/450, 7005/1744 i.e 1/392400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2909/450, 7005/1744.

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 2909/450,7005/1744?

Given fractions are 2909/450,7005/1744

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 2909/450,7005/1744, numerators are 2909,7005

Denominators are 450,1744

The GCF of 2909,7005 is 1 .

LCM of 450,1744 is 392400.

The greatest common factor of 2909/450,7005/1744 = [GCF of 2909,7005]/[LCM of 450,1744]= 1/392400

Therefore, the GCF of 2909/450,7005/1744 is 1/392400.

Greatest Common Factor of 2909,7005

To find the highest common factor of 2909,7005, we have to find the factors of both numbers and list the highest common factor.

The factors of 2909 are 1, 2909

The factors of 7005 are 1, 3, 5, 15, 467, 1401, 2335, 7005

The HCF of 2909,7005 is 1.

Lets's calculate GCF of 2909,7005

Greatest Common Factor (GCF) of 2909,7005 By Common Division

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

Greatest Common Factor of 2909,7005 By Matching Biggest Common Factor Method

Now, list down the factors of 2909

1,2909

Now, list down the factors of 7005

1,3,5,15,467,1401,2335,7005

Greatest Common Factor

We found the factors 2909,7005 . The biggest common factor number is the GCF number.
So the greatest common factor 2909,7005 is 1.

Lets's calculate LCM of 450,1744

Lowest Common Multiple of 450,1744 using Common Division

2	450, 1744
	225, 872

∴ So the LCM of the given numbers is 2 x 225 x 872 = 392400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392400

Therefore, the GCF of Fractions 2909/450,7005/1744 is 1/392400

Least Common Multiple of 450,1744 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 450,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,1744) = 2

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

GCF(450,1744) x common factors =2 x 1 = 2

LCM(450,1744) = ( 450 × 1744 ) / 2

LCM(450,1744) = 784800 / 2

LCM(450,1744) = 392400

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FAQs on GCF of Fractions of 2909/450, 7005/1744

1. What is the HCF of 2909,7005?

The HCF of 2909,7005 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 2909/450, 7005/1744?

Answer: GCF of Numerators as per given numbers 2909/450, 7005/1744 is

GCF of Numerators i.e. for 2909,7005 is 1

LCM of denominators i.e. for 450,1744 is 392400.

Thus, GCF of Fractions is 1/392400.Finally, GCF of Fractions for 2909/450, 7005/1744 is 1/392400.