How to Find GCF of 5843/564, 9490/686?

GCF of 5843/564, 9490/686

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 5843/564, 9490/686 i.e 1/193452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5843/564, 9490/686.

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 5843/564,9490/686?

Given fractions are 5843/564,9490/686

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 5843/564,9490/686, numerators are 5843,9490

Denominators are 564,686

The GCF of 5843,9490 is 1 .

LCM of 564,686 is 193452.

The greatest common factor of 5843/564,9490/686 = [GCF of 5843,9490]/[LCM of 564,686]= 1/193452

Therefore, the GCF of 5843/564,9490/686 is 1/193452.

Greatest Common Factor of 5843,9490

To find the highest common factor of 5843,9490, we have to find the factors of both numbers and list the highest common factor.

The factors of 5843 are 1, 5843

The factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490

The HCF of 5843,9490 is 1.

Lets's calculate GCF of 5843,9490

Greatest Common Factor (GCF) of 5843,9490 By Common Division

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

Greatest Common Factor of 5843,9490 By Matching Biggest Common Factor Method

Now, list down the factors of 5843

1,5843

Now, list down the factors of 9490

1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490

Greatest Common Factor

We found the factors 5843,9490 . The biggest common factor number is the GCF number.
So the greatest common factor 5843,9490 is 1.

Lets's calculate LCM of 564,686

Lowest Common Multiple of 564,686 using Common Division

2	564, 686
	282, 343

∴ So the LCM of the given numbers is 2 x 282 x 343 = 193452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193452

Therefore, the GCF of Fractions 5843/564,9490/686 is 1/193452

Least Common Multiple of 564,686 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 564,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,686) = 2

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

GCF(564,686) x common factors =2 x 1 = 2

LCM(564,686) = ( 564 × 686 ) / 2

LCM(564,686) = 386904 / 2

LCM(564,686) = 193452

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FAQs on GCF of Fractions of 5843/564, 9490/686

1. What is the HCF of 5843,9490?

The HCF of 5843,9490 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 5843/564, 9490/686?

Answer: GCF of Numerators as per given numbers 5843/564, 9490/686 is

GCF of Numerators i.e. for 5843,9490 is 1

LCM of denominators i.e. for 564,686 is 193452.

Thus, GCF of Fractions is 1/193452.Finally, GCF of Fractions for 5843/564, 9490/686 is 1/193452.