How to Find GCF of 4069/604, 3523/413?

GCF of 4069/604, 3523/413

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 4069/604, 3523/413 i.e 13/249452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4069/604, 3523/413.

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 4069/604,3523/413?

Given fractions are 4069/604,3523/413

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 4069/604,3523/413, numerators are 4069,3523

Denominators are 604,413

The GCF of 4069,3523 is 13 .

LCM of 604,413 is 249452.

The greatest common factor of 4069/604,3523/413 = [GCF of 4069,3523]/[LCM of 604,413]= 13/249452

Therefore, the GCF of 4069/604,3523/413 is 13/249452.

Greatest Common Factor of 4069,3523

To find the highest common factor of 4069,3523, we have to find the factors of both numbers and list the highest common factor.

The factors of 4069 are 1, 13, 313, 4069

The factors of 3523 are 1, 13, 271, 3523

The HCF of 4069,3523 is 13.

Lets's calculate GCF of 4069,3523

Greatest Common Factor (GCF) of 4069,3523 By Common Division

13	4069, 3523
	313, 271

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4069,3523 By Matching Biggest Common Factor Method

Now, list down the factors of 4069

1,13,313,4069

Now, list down the factors of 3523

1,13,271,3523

Greatest Common Factor

We found the factors 4069,3523 . The biggest common factor number is the GCF number.
So the greatest common factor 4069,3523 is 13.

Lets's calculate LCM of 604,413

Lowest Common Multiple of 604,413 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 249452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/249452

Therefore, the GCF of Fractions 4069/604,3523/413 is 13/249452

Least Common Multiple of 604,413 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 604,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,413) = 1

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

GCF(604,413) x common factors =1 x 1 = 1

LCM(604,413) = ( 604 × 413 ) / 1

LCM(604,413) = 249452 / 1

LCM(604,413) = 249452

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FAQs on GCF of Fractions of 4069/604, 3523/413

1. What is the HCF of 4069,3523?

The HCF of 4069,3523 is 13

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 4069/604, 3523/413?

Answer: GCF of Numerators as per given numbers 4069/604, 3523/413 is

GCF of Numerators i.e. for 4069,3523 is 13

LCM of denominators i.e. for 604,413 is 249452.

Thus, GCF of Fractions is 13/249452.Finally, GCF of Fractions for 4069/604, 3523/413 is 13/249452.