How to Find GCF of 13/578, 574/772, 361/566?

GCF of 13/578, 574/772, 361/566

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 13/578, 574/772, 361/566 i.e 1/63139564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/578, 574/772, 361/566.

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 13/578,574/772,361/566?

Given fractions are 13/578,574/772,361/566

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 13/578,574/772,361/566, numerators are 13,574,361

Denominators are 578,772,566

The GCF of 13,574,361 is 1 .

LCM of 578,772,566 is 63139564.

The greatest common factor of 13/578,574/772,361/566 = [GCF of 13,574,361]/[LCM of 578,772,566]= 1/63139564

Therefore, the GCF of 13/578,574/772,361/566 is 1/63139564.

Greatest Common Factor of 13,574,361

To find the highest common factor of 13,574,361, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574

The factors of 361 are 1, 19, 361

The HCF of 13,574,361 is 1.

Lets's calculate GCF of 13,574,361

Greatest Common Factor (GCF) of 13,574,361 By Common Division

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

Greatest Common Factor of 13,574,361 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 574

1,2,7,14,41,82,287,574

Now, list down the factors of 361

1,19,361

Greatest Common Factor

We found the factors 13,574,361 . The biggest common factor number is the GCF number.
So the greatest common factor 13,574,361 is 1.

Lets's calculate LCM of 578,772,566

Lowest Common Multiple of 578,772,566 using Common Division

2	578, 772, 566
	289, 386, 283

∴ So the LCM of the given numbers is 2 x 289 x 386 x 283 = 63139564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63139564

Therefore, the GCF of Fractions 13/578,574/772,361/566 is 1/63139564

Least Common Multiple of 578,772,566 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 578,772,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,772,566) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(578,772,566) x common factors =2 x 2 = 4

LCM(578,772,566) = ( 578 × 772 × 566 ) / 4

LCM(578,772,566) = 252558256 / 4

LCM(578,772,566) = 63139564

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 13/578, 574/772, 361/566

1. What is the HCF of 13,574,361?

The HCF of 13,574,361 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 13/578, 574/772, 361/566?

Answer: GCF of Numerators as per given numbers 13/578, 574/772, 361/566 is

GCF of Numerators i.e. for 13,574,361 is 1

LCM of denominators i.e. for 578,772,566 is 63139564.

Thus, GCF of Fractions is 1/63139564.Finally, GCF of Fractions for 13/578, 574/772, 361/566 is 1/63139564.