Greatest Common Factor of 444/582, 738/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 444/582, 738/469

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 444/582,738/469

Given fractions are 444/582,738/469

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 444,738

Greatest Common Factor of Numerators i.e. GCF of 444,738 is 6 .

LCM of Denominators means LCM of 582,469 as per the given fractions.

LCM of 582,469 is 272958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 444,738

GCF of Fractions 444/582,738/469 is 6/272958

2 444, 738
3 222, 369
74, 123

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 444,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,738 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 444,738 . The biggest common factor number is the GCF number.
So the greatest common factor 444,738 is 6.

Lets's calculate LCM of 582,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 272958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/272958

Therefore, the GCF of Fractions 444/582,738/469 is 6/272958

Least Common Multiple of 582,469 with GCF Formula

Least Common Multiple of 582,469 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 582,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,469) = 1

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

GCF(582,469) x common factors =1 x 1 = 1

LCM(582,469) = ( 582 × 469 ) / 1

LCM(582,469) = 272958 / 1

LCM(582,469) = 272958


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 444/582, 738/469

1. 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.

2. What is the GCF of Fractions for 444/582, 738/469?

Answer: GCF of Numerators as per given numbers 444/582, 738/469 is

GCF of Numerators i.e. for 444,738 is 6

LCM of denominators i.e. for 582,469 is 272958.

Thus, GCF of Fractions is 6/272958.Finally, GCF of Fractions for 444/582, 738/469 is 6/272958.