How to Find GCF of 3590/574, 8404/5454?

GCF of 3590/574, 8404/5454

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 3590/574, 8404/5454 i.e 2/1565298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3590/574, 8404/5454.

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 3590/574,8404/5454?

Given fractions are 3590/574,8404/5454

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 3590/574,8404/5454, numerators are 3590,8404

Denominators are 574,5454

The GCF of 3590,8404 is 2 .

LCM of 574,5454 is 1565298.

The greatest common factor of 3590/574,8404/5454 = [GCF of 3590,8404]/[LCM of 574,5454]= 2/1565298

Therefore, the GCF of 3590/574,8404/5454 is 2/1565298.

Greatest Common Factor of 3590,8404

To find the highest common factor of 3590,8404, we have to find the factors of both numbers and list the highest common factor.

The factors of 3590 are 1, 2, 5, 10, 359, 718, 1795, 3590

The factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404

The HCF of 3590,8404 is 2.

Lets's calculate GCF of 3590,8404

Greatest Common Factor (GCF) of 3590,8404 By Common Division

2	3590, 8404
	1795, 4202

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

Greatest Common Factor of 3590,8404 By Matching Biggest Common Factor Method

Now, list down the factors of 3590

1,2,5,10,359,718,1795,3590

Now, list down the factors of 8404

1,2,4,11,22,44,191,382,764,2101,4202,8404

Greatest Common Factor

We found the factors 3590,8404 . The biggest common factor number is the GCF number.
So the greatest common factor 3590,8404 is 2.

Lets's calculate LCM of 574,5454

Lowest Common Multiple of 574,5454 using Common Division

2	574, 5454
	287, 2727

∴ So the LCM of the given numbers is 2 x 287 x 2727 = 1565298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1565298

Therefore, the GCF of Fractions 3590/574,8404/5454 is 2/1565298

Least Common Multiple of 574,5454 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 574,5454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,5454) = 2

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

GCF(574,5454) x common factors =2 x 1 = 2

LCM(574,5454) = ( 574 × 5454 ) / 2

LCM(574,5454) = 3130596 / 2

LCM(574,5454) = 1565298

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FAQs on GCF of Fractions of 3590/574, 8404/5454

1. What is the HCF of 3590,8404?

The HCF of 3590,8404 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 3590/574, 8404/5454?

Answer: GCF of Numerators as per given numbers 3590/574, 8404/5454 is

GCF of Numerators i.e. for 3590,8404 is 2

LCM of denominators i.e. for 574,5454 is 1565298.

Thus, GCF of Fractions is 2/1565298.Finally, GCF of Fractions for 3590/574, 8404/5454 is 2/1565298.