Greatest Common Factor of 1836/54, 1328/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1836/54, 1328/904

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 1836/54,1328/904

Given fractions are 1836/54,1328/904

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 1836,1328

Greatest Common Factor of Numerators i.e. GCF of 1836,1328 is 4 .

LCM of Denominators means LCM of 54,904 as per the given fractions.

LCM of 54,904 is 24408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1836,1328

GCF of Fractions 1836/54,1328/904 is 4/24408

2 1836, 1328
2 918, 664
459, 332

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1836,1328 By Matching Biggest Common Factor Method

Greatest Common Factor of 1836,1328 By Matching Biggest Common Factor Method

Factors of 1836

List of positive integer factors of 1836 that divides 1836 without a remainder.

1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836

Factors of 1328

List of positive integer factors of 1328 that divides 1328 without a remainder.

1,2,4,8,16,83,166,332,664,1328

Greatest Common Factor

We found the factors 1836,1328 . The biggest common factor number is the GCF number.
So the greatest common factor 1836,1328 is 4.

Lets's calculate LCM of 54,904

2 54, 904
27, 452

∴ So the LCM of the given numbers is 2 x 27 x 452 = 24408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/24408

Therefore, the GCF of Fractions 1836/54,1328/904 is 4/24408

Least Common Multiple of 54,904 with GCF Formula

Least Common Multiple of 54,904 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 54,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,904) = 2

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

GCF(54,904) x common factors =2 x 1 = 2

LCM(54,904) = ( 54 × 904 ) / 2

LCM(54,904) = 48816 / 2

LCM(54,904) = 24408


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 1836/54, 1328/904

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 1836/54, 1328/904?

Answer: GCF of Numerators as per given numbers 1836/54, 1328/904 is

GCF of Numerators i.e. for 1836,1328 is 4

LCM of denominators i.e. for 54,904 is 24408.

Thus, GCF of Fractions is 4/24408.Finally, GCF of Fractions for 1836/54, 1328/904 is 4/24408.