How to Find GCF of 3034/404, 6206/4544?

GCF of 3034/404, 6206/4544

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 3034/404, 6206/4544 i.e 2/458944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3034/404, 6206/4544.

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 3034/404,6206/4544?

Given fractions are 3034/404,6206/4544

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 3034/404,6206/4544, numerators are 3034,6206

Denominators are 404,4544

The GCF of 3034,6206 is 2 .

LCM of 404,4544 is 458944.

The greatest common factor of 3034/404,6206/4544 = [GCF of 3034,6206]/[LCM of 404,4544]= 2/458944

Therefore, the GCF of 3034/404,6206/4544 is 2/458944.

Greatest Common Factor of 3034,6206

To find the highest common factor of 3034,6206, we have to find the factors of both numbers and list the highest common factor.

The factors of 3034 are 1, 2, 37, 41, 74, 82, 1517, 3034

The factors of 6206 are 1, 2, 29, 58, 107, 214, 3103, 6206

The HCF of 3034,6206 is 2.

Lets's calculate GCF of 3034,6206

Greatest Common Factor (GCF) of 3034,6206 By Common Division

2	3034, 6206
	1517, 3103

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

Greatest Common Factor of 3034,6206 By Matching Biggest Common Factor Method

Now, list down the factors of 3034

1,2,37,41,74,82,1517,3034

Now, list down the factors of 6206

1,2,29,58,107,214,3103,6206

Greatest Common Factor

We found the factors 3034,6206 . The biggest common factor number is the GCF number.
So the greatest common factor 3034,6206 is 2.

Lets's calculate LCM of 404,4544

Lowest Common Multiple of 404,4544 using Common Division

2	404, 4544
2	202, 2272
	101, 1136

∴ So the LCM of the given numbers is 2 x 2 x 101 x 1136 = 458944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/458944

Therefore, the GCF of Fractions 3034/404,6206/4544 is 2/458944

Least Common Multiple of 404,4544 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 404,4544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,4544) = 4

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

GCF(404,4544) x common factors =4 x 1 = 4

LCM(404,4544) = ( 404 × 4544 ) / 4

LCM(404,4544) = 1835776 / 4

LCM(404,4544) = 458944

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FAQs on GCF of Fractions of 3034/404, 6206/4544

1. What is the HCF of 3034,6206?

The HCF of 3034,6206 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 3034/404, 6206/4544?

Answer: GCF of Numerators as per given numbers 3034/404, 6206/4544 is

GCF of Numerators i.e. for 3034,6206 is 2

LCM of denominators i.e. for 404,4544 is 458944.

Thus, GCF of Fractions is 2/458944.Finally, GCF of Fractions for 3034/404, 6206/4544 is 2/458944.