Greatest Common Factor of 828/292, 1683/3766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/292, 1683/3766

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 828/292,1683/3766

Given fractions are 828/292,1683/3766

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 828,1683

Greatest Common Factor of Numerators i.e. GCF of 828,1683 is 9 .

LCM of Denominators means LCM of 292,3766 as per the given fractions.

LCM of 292,3766 is 549836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,1683

GCF of Fractions 828/292,1683/3766 is 9/549836

3 828, 1683
3 276, 561
92, 187

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

Greatest Common Factor of 828,1683 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,1683 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 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1,3,9,11,17,33,51,99,153,187,561,1683

Greatest Common Factor

We found the factors 828,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 828,1683 is 9.

Lets's calculate LCM of 292,3766

2 292, 3766
146, 1883

∴ So the LCM of the given numbers is 2 x 146 x 1883 = 549836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/549836

Therefore, the GCF of Fractions 828/292,1683/3766 is 9/549836

Least Common Multiple of 292,3766 with GCF Formula

Least Common Multiple of 292,3766 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 292,3766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,3766) = 2

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

GCF(292,3766) x common factors =2 x 1 = 2

LCM(292,3766) = ( 292 × 3766 ) / 2

LCM(292,3766) = 1099672 / 2

LCM(292,3766) = 549836


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 828/292, 1683/3766

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 828/292, 1683/3766?

Answer: GCF of Numerators as per given numbers 828/292, 1683/3766 is

GCF of Numerators i.e. for 828,1683 is 9

LCM of denominators i.e. for 292,3766 is 549836.

Thus, GCF of Fractions is 9/549836.Finally, GCF of Fractions for 828/292, 1683/3766 is 9/549836.