How to Find GCF of 5521/406, 7064/5684?

GCF of 5521/406, 7064/5684

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 5521/406, 7064/5684 i.e 1/5684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5521/406, 7064/5684.

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 5521/406,7064/5684?

Given fractions are 5521/406,7064/5684

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 5521/406,7064/5684, numerators are 5521,7064

Denominators are 406,5684

The GCF of 5521,7064 is 1 .

LCM of 406,5684 is 5684.

The greatest common factor of 5521/406,7064/5684 = [GCF of 5521,7064]/[LCM of 406,5684]= 1/5684

Therefore, the GCF of 5521/406,7064/5684 is 1/5684.

Greatest Common Factor of 5521,7064

To find the highest common factor of 5521,7064, we have to find the factors of both numbers and list the highest common factor.

The factors of 5521 are 1, 5521

The factors of 7064 are 1, 2, 4, 8, 883, 1766, 3532, 7064

The HCF of 5521,7064 is 1.

Lets's calculate GCF of 5521,7064

Greatest Common Factor (GCF) of 5521,7064 By Common Division

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

Greatest Common Factor of 5521,7064 By Matching Biggest Common Factor Method

Now, list down the factors of 5521

1,5521

Now, list down the factors of 7064

1,2,4,8,883,1766,3532,7064

Greatest Common Factor

We found the factors 5521,7064 . The biggest common factor number is the GCF number.
So the greatest common factor 5521,7064 is 1.

Lets's calculate LCM of 406,5684

Lowest Common Multiple of 406,5684 using Common Division

2	406, 5684
7	203, 2842
29	29, 406
	1, 14

∴ So the LCM of the given numbers is 2 x 7 x 29 x 1 x 14 = 5684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5684

Therefore, the GCF of Fractions 5521/406,7064/5684 is 1/5684

Least Common Multiple of 406,5684 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 406,5684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,5684) = 406

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

GCF(406,5684) x common factors =406 x 1 = 406

LCM(406,5684) = ( 406 × 5684 ) / 406

LCM(406,5684) = 2307704 / 406

LCM(406,5684) = 5684

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FAQs on GCF of Fractions of 5521/406, 7064/5684

1. What is the HCF of 5521,7064?

The HCF of 5521,7064 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 5521/406, 7064/5684?

Answer: GCF of Numerators as per given numbers 5521/406, 7064/5684 is

GCF of Numerators i.e. for 5521,7064 is 1

LCM of denominators i.e. for 406,5684 is 5684.

Thus, GCF of Fractions is 1/5684.Finally, GCF of Fractions for 5521/406, 7064/5684 is 1/5684.