Greatest Common Factor of 828/984, 585/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/984, 585/442

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 828/984,585/442

Given fractions are 828/984,585/442

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 828,585

Greatest Common Factor of Numerators i.e. GCF of 828,585 is 9 .

LCM of Denominators means LCM of 984,442 as per the given fractions.

LCM of 984,442 is 217464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,585

GCF of Fractions 828/984,585/442 is 9/217464

3 828, 585
3 276, 195
92, 65

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 828,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,585 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 828,585 . The biggest common factor number is the GCF number.
So the greatest common factor 828,585 is 9.

Lets's calculate LCM of 984,442

2 984, 442
492, 221

∴ So the LCM of the given numbers is 2 x 492 x 221 = 217464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/217464

Therefore, the GCF of Fractions 828/984,585/442 is 9/217464

Least Common Multiple of 984,442 with GCF Formula

Least Common Multiple of 984,442 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 984,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,442) = 2

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

GCF(984,442) x common factors =2 x 1 = 2

LCM(984,442) = ( 984 × 442 ) / 2

LCM(984,442) = 434928 / 2

LCM(984,442) = 217464


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 828/984, 585/442

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 828/984, 585/442?

Answer: GCF of Numerators as per given numbers 828/984, 585/442 is

GCF of Numerators i.e. for 828,585 is 9

LCM of denominators i.e. for 984,442 is 217464.

Thus, GCF of Fractions is 9/217464.Finally, GCF of Fractions for 828/984, 585/442 is 9/217464.