How to Find GCF of 44/285, 404/909, 604/618?

GCF of 44/285, 404/909, 604/618

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 44/285, 404/909, 604/618 i.e 4/17789130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/285, 404/909, 604/618.

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 44/285,404/909,604/618?

Given fractions are 44/285,404/909,604/618

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 44/285,404/909,604/618, numerators are 44,404,604

Denominators are 285,909,618

The GCF of 44,404,604 is 4 .

LCM of 285,909,618 is 17789130.

The greatest common factor of 44/285,404/909,604/618 = [GCF of 44,404,604]/[LCM of 285,909,618]= 4/17789130

Therefore, the GCF of 44/285,404/909,604/618 is 4/17789130.

Greatest Common Factor of 44,404,604

To find the highest common factor of 44,404,604, we have to find the factors of both numbers and list the highest common factor.

The factors of 44 are 1, 2, 4, 11, 22, 44

The factors of 404 are 1, 2, 4, 101, 202, 404

The factors of 604 are 1, 2, 4, 151, 302, 604

The HCF of 44,404,604 is 4.

Lets's calculate GCF of 44,404,604

Greatest Common Factor (GCF) of 44,404,604 By Common Division

2	44, 404, 604
2	22, 202, 302
	11, 101, 151

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 44,404,604 By Matching Biggest Common Factor Method

Now, list down the factors of 44

1,2,4,11,22,44

Now, list down the factors of 404

1,2,4,101,202,404

Now, list down the factors of 604

1,2,4,151,302,604

Greatest Common Factor

We found the factors 44,404,604 . The biggest common factor number is the GCF number.
So the greatest common factor 44,404,604 is 4.

Lets's calculate LCM of 285,909,618

Lowest Common Multiple of 285,909,618 using Common Division

3	285, 909, 618
	95, 303, 206

∴ So the LCM of the given numbers is 3 x 95 x 303 x 206 = 17789130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17789130

Therefore, the GCF of Fractions 44/285,404/909,604/618 is 4/17789130

Least Common Multiple of 285,909,618 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 285,909,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,909,618) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(285,909,618) x common factors =3 x 3 = 9

LCM(285,909,618) = ( 285 × 909 × 618 ) / 9

LCM(285,909,618) = 160102170 / 9

LCM(285,909,618) = 17789130

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 44/285, 404/909, 604/618

1. What is the HCF of 44,404,604?

The HCF of 44,404,604 is 4

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 44/285, 404/909, 604/618?

Answer: GCF of Numerators as per given numbers 44/285, 404/909, 604/618 is

GCF of Numerators i.e. for 44,404,604 is 4

LCM of denominators i.e. for 285,909,618 is 17789130.

Thus, GCF of Fractions is 4/17789130.Finally, GCF of Fractions for 44/285, 404/909, 604/618 is 4/17789130.