How to Find GCF of 5884/233, 6122/6349?

GCF of 5884/233, 6122/6349

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 5884/233, 6122/6349 i.e 2/1479317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5884/233, 6122/6349.

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 5884/233,6122/6349?

Given fractions are 5884/233,6122/6349

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 5884/233,6122/6349, numerators are 5884,6122

Denominators are 233,6349

The GCF of 5884,6122 is 2 .

LCM of 233,6349 is 1479317.

The greatest common factor of 5884/233,6122/6349 = [GCF of 5884,6122]/[LCM of 233,6349]= 2/1479317

Therefore, the GCF of 5884/233,6122/6349 is 2/1479317.

Greatest Common Factor of 5884,6122

To find the highest common factor of 5884,6122, we have to find the factors of both numbers and list the highest common factor.

The factors of 5884 are 1, 2, 4, 1471, 2942, 5884

The factors of 6122 are 1, 2, 3061, 6122

The HCF of 5884,6122 is 2.

Lets's calculate GCF of 5884,6122

Greatest Common Factor (GCF) of 5884,6122 By Common Division

2	5884, 6122
	2942, 3061

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5884,6122 By Matching Biggest Common Factor Method

Now, list down the factors of 5884

1,2,4,1471,2942,5884

Now, list down the factors of 6122

1,2,3061,6122

Greatest Common Factor

We found the factors 5884,6122 . The biggest common factor number is the GCF number.
So the greatest common factor 5884,6122 is 2.

Lets's calculate LCM of 233,6349

Lowest Common Multiple of 233,6349 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1479317

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1479317

Therefore, the GCF of Fractions 5884/233,6122/6349 is 2/1479317

Least Common Multiple of 233,6349 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 233,6349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,6349) = 1

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

GCF(233,6349) x common factors =1 x 1 = 1

LCM(233,6349) = ( 233 × 6349 ) / 1

LCM(233,6349) = 1479317 / 1

LCM(233,6349) = 1479317

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FAQs on GCF of Fractions of 5884/233, 6122/6349

1. What is the HCF of 5884,6122?

The HCF of 5884,6122 is 2

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 5884/233, 6122/6349?

Answer: GCF of Numerators as per given numbers 5884/233, 6122/6349 is

GCF of Numerators i.e. for 5884,6122 is 2

LCM of denominators i.e. for 233,6349 is 1479317.

Thus, GCF of Fractions is 2/1479317.Finally, GCF of Fractions for 5884/233, 6122/6349 is 2/1479317.