How to Find GCF of 6577/320, 9541/2872?

GCF of 6577/320, 9541/2872

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 6577/320, 9541/2872 i.e 1/114880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6577/320, 9541/2872.

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 6577/320,9541/2872?

Given fractions are 6577/320,9541/2872

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 6577/320,9541/2872, numerators are 6577,9541

Denominators are 320,2872

The GCF of 6577,9541 is 1 .

LCM of 320,2872 is 114880.

The greatest common factor of 6577/320,9541/2872 = [GCF of 6577,9541]/[LCM of 320,2872]= 1/114880

Therefore, the GCF of 6577/320,9541/2872 is 1/114880.

Greatest Common Factor of 6577,9541

To find the highest common factor of 6577,9541, we have to find the factors of both numbers and list the highest common factor.

The factors of 6577 are 1, 6577

The factors of 9541 are 1, 7, 29, 47, 203, 329, 1363, 9541

The HCF of 6577,9541 is 1.

Lets's calculate GCF of 6577,9541

Greatest Common Factor (GCF) of 6577,9541 By Common Division

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

Greatest Common Factor of 6577,9541 By Matching Biggest Common Factor Method

Now, list down the factors of 6577

1,6577

Now, list down the factors of 9541

1,7,29,47,203,329,1363,9541

Greatest Common Factor

We found the factors 6577,9541 . The biggest common factor number is the GCF number.
So the greatest common factor 6577,9541 is 1.

Lets's calculate LCM of 320,2872

Lowest Common Multiple of 320,2872 using Common Division

2	320, 2872
2	160, 1436
2	80, 718
	40, 359

∴ So the LCM of the given numbers is 2 x 2 x 2 x 40 x 359 = 114880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114880

Therefore, the GCF of Fractions 6577/320,9541/2872 is 1/114880

Least Common Multiple of 320,2872 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 320,2872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,2872) = 8

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

GCF(320,2872) x common factors =8 x 1 = 8

LCM(320,2872) = ( 320 × 2872 ) / 8

LCM(320,2872) = 919040 / 8

LCM(320,2872) = 114880

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FAQs on GCF of Fractions of 6577/320, 9541/2872

1. What is the HCF of 6577,9541?

The HCF of 6577,9541 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 6577/320, 9541/2872?

Answer: GCF of Numerators as per given numbers 6577/320, 9541/2872 is

GCF of Numerators i.e. for 6577,9541 is 1

LCM of denominators i.e. for 320,2872 is 114880.

Thus, GCF of Fractions is 1/114880.Finally, GCF of Fractions for 6577/320, 9541/2872 is 1/114880.