How to Find GCF of 5413/904, 6470/6806?

GCF of 5413/904, 6470/6806

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 5413/904, 6470/6806 i.e 1/3076312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5413/904, 6470/6806.

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 5413/904,6470/6806?

Given fractions are 5413/904,6470/6806

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 5413/904,6470/6806, numerators are 5413,6470

Denominators are 904,6806

The GCF of 5413,6470 is 1 .

LCM of 904,6806 is 3076312.

The greatest common factor of 5413/904,6470/6806 = [GCF of 5413,6470]/[LCM of 904,6806]= 1/3076312

Therefore, the GCF of 5413/904,6470/6806 is 1/3076312.

Greatest Common Factor of 5413,6470

To find the highest common factor of 5413,6470, we have to find the factors of both numbers and list the highest common factor.

The factors of 5413 are 1, 5413

The factors of 6470 are 1, 2, 5, 10, 647, 1294, 3235, 6470

The HCF of 5413,6470 is 1.

Lets's calculate GCF of 5413,6470

Greatest Common Factor (GCF) of 5413,6470 By Common Division

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

Greatest Common Factor of 5413,6470 By Matching Biggest Common Factor Method

Now, list down the factors of 5413

1,5413

Now, list down the factors of 6470

1,2,5,10,647,1294,3235,6470

Greatest Common Factor

We found the factors 5413,6470 . The biggest common factor number is the GCF number.
So the greatest common factor 5413,6470 is 1.

Lets's calculate LCM of 904,6806

Lowest Common Multiple of 904,6806 using Common Division

2	904, 6806
	452, 3403

∴ So the LCM of the given numbers is 2 x 452 x 3403 = 3076312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3076312

Therefore, the GCF of Fractions 5413/904,6470/6806 is 1/3076312

Least Common Multiple of 904,6806 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 904,6806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,6806) = 2

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

GCF(904,6806) x common factors =2 x 1 = 2

LCM(904,6806) = ( 904 × 6806 ) / 2

LCM(904,6806) = 6152624 / 2

LCM(904,6806) = 3076312

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FAQs on GCF of Fractions of 5413/904, 6470/6806

1. What is the HCF of 5413,6470?

The HCF of 5413,6470 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 5413/904, 6470/6806?

Answer: GCF of Numerators as per given numbers 5413/904, 6470/6806 is

GCF of Numerators i.e. for 5413,6470 is 1

LCM of denominators i.e. for 904,6806 is 3076312.

Thus, GCF of Fractions is 1/3076312.Finally, GCF of Fractions for 5413/904, 6470/6806 is 1/3076312.