How to Find GCF of 5683/164, 1643/488?

GCF of 5683/164, 1643/488

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 5683/164, 1643/488 i.e 1/20008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5683/164, 1643/488.

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 5683/164,1643/488?

Given fractions are 5683/164,1643/488

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 5683/164,1643/488, numerators are 5683,1643

Denominators are 164,488

The GCF of 5683,1643 is 1 .

LCM of 164,488 is 20008.

The greatest common factor of 5683/164,1643/488 = [GCF of 5683,1643]/[LCM of 164,488]= 1/20008

Therefore, the GCF of 5683/164,1643/488 is 1/20008.

Greatest Common Factor of 5683,1643

To find the highest common factor of 5683,1643, we have to find the factors of both numbers and list the highest common factor.

The factors of 5683 are 1, 5683

The factors of 1643 are 1, 31, 53, 1643

The HCF of 5683,1643 is 1.

Lets's calculate GCF of 5683,1643

Greatest Common Factor (GCF) of 5683,1643 By Common Division

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

Greatest Common Factor of 5683,1643 By Matching Biggest Common Factor Method

Now, list down the factors of 5683

1,5683

Now, list down the factors of 1643

1,31,53,1643

Greatest Common Factor

We found the factors 5683,1643 . The biggest common factor number is the GCF number.
So the greatest common factor 5683,1643 is 1.

Lets's calculate LCM of 164,488

Lowest Common Multiple of 164,488 using Common Division

2	164, 488
2	82, 244
	41, 122

∴ So the LCM of the given numbers is 2 x 2 x 41 x 122 = 20008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20008

Therefore, the GCF of Fractions 5683/164,1643/488 is 1/20008

Least Common Multiple of 164,488 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 164,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,488) = 4

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

GCF(164,488) x common factors =4 x 1 = 4

LCM(164,488) = ( 164 × 488 ) / 4

LCM(164,488) = 80032 / 4

LCM(164,488) = 20008

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FAQs on GCF of Fractions of 5683/164, 1643/488

1. What is the HCF of 5683,1643?

The HCF of 5683,1643 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 5683/164, 1643/488?

Answer: GCF of Numerators as per given numbers 5683/164, 1643/488 is

GCF of Numerators i.e. for 5683,1643 is 1

LCM of denominators i.e. for 164,488 is 20008.

Thus, GCF of Fractions is 1/20008.Finally, GCF of Fractions for 5683/164, 1643/488 is 1/20008.