Greatest Common Factor of 440/85, 5440/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/85, 5440/468

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 440/85,5440/468

Given fractions are 440/85,5440/468

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 440,5440

Greatest Common Factor of Numerators i.e. GCF of 440,5440 is 40 .

LCM of Denominators means LCM of 85,468 as per the given fractions.

LCM of 85,468 is 39780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,5440

GCF of Fractions 440/85,5440/468 is 40/39780

2 440, 5440
2 220, 2720
2 110, 1360
5 55, 680
11, 136

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 440,5440 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,5440 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

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

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Greatest Common Factor

We found the factors 440,5440 . The biggest common factor number is the GCF number.
So the greatest common factor 440,5440 is 40.

Lets's calculate LCM of 85,468

Given numbers has no common factors except 1. So, there LCM is their product i.e 39780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/39780

Therefore, the GCF of Fractions 440/85,5440/468 is 40/39780

Least Common Multiple of 85,468 with GCF Formula

Least Common Multiple of 85,468 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 85,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,468) = 1

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

GCF(85,468) x common factors =1 x 1 = 1

LCM(85,468) = ( 85 × 468 ) / 1

LCM(85,468) = 39780 / 1

LCM(85,468) = 39780


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 440/85, 5440/468

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 440/85, 5440/468?

Answer: GCF of Numerators as per given numbers 440/85, 5440/468 is

GCF of Numerators i.e. for 440,5440 is 40

LCM of denominators i.e. for 85,468 is 39780.

Thus, GCF of Fractions is 40/39780.Finally, GCF of Fractions for 440/85, 5440/468 is 40/39780.