How to Find GCF of 440/577, 584/618?

GCF of 440/577, 584/618

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 440/577, 584/618 i.e 8/356586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/577, 584/618.

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 440/577,584/618?

Given fractions are 440/577,584/618

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 440/577,584/618, numerators are 440,584

Denominators are 577,618

The GCF of 440,584 is 8 .

LCM of 577,618 is 356586.

The greatest common factor of 440/577,584/618 = [GCF of 440,584]/[LCM of 577,618]= 8/356586

Therefore, the GCF of 440/577,584/618 is 8/356586.

Greatest Common Factor of 440,584

To find the highest common factor of 440,584, we have to find the factors of both numbers and list the highest common factor.

The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584

The HCF of 440,584 is 8.

Lets's calculate GCF of 440,584

Greatest Common Factor (GCF) of 440,584 By Common Division

2	440, 584
2	220, 292
2	110, 146
	55, 73

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 440,584 By Matching Biggest Common Factor Method

Now, list down the factors of 440

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Now, list down the factors of 584

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 440,584 . The biggest common factor number is the GCF number.
So the greatest common factor 440,584 is 8.

Lets's calculate LCM of 577,618

Lowest Common Multiple of 577,618 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 356586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/356586

Therefore, the GCF of Fractions 440/577,584/618 is 8/356586

Least Common Multiple of 577,618 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 577,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,618) = 1

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

GCF(577,618) x common factors =1 x 1 = 1

LCM(577,618) = ( 577 × 618 ) / 1

LCM(577,618) = 356586 / 1

LCM(577,618) = 356586

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FAQs on GCF of Fractions of 440/577, 584/618

1. What is the HCF of 440,584?

The HCF of 440,584 is 8

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 440/577, 584/618?

Answer: GCF of Numerators as per given numbers 440/577, 584/618 is

GCF of Numerators i.e. for 440,584 is 8

LCM of denominators i.e. for 577,618 is 356586.

Thus, GCF of Fractions is 8/356586.Finally, GCF of Fractions for 440/577, 584/618 is 8/356586.