Greatest Common Factor of 1824/11, 7382/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1824/11, 7382/827

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 1824/11,7382/827

Given fractions are 1824/11,7382/827

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 1824,7382

Greatest Common Factor of Numerators i.e. GCF of 1824,7382 is 2 .

LCM of Denominators means LCM of 11,827 as per the given fractions.

LCM of 11,827 is 9097 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1824,7382

GCF of Fractions 1824/11,7382/827 is 2/9097

2 1824, 7382
912, 3691

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

Greatest Common Factor of 1824,7382 By Matching Biggest Common Factor Method

Greatest Common Factor of 1824,7382 By Matching Biggest Common Factor Method

Factors of 1824

List of positive integer factors of 1824 that divides 1824 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824

Factors of 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1,2,3691,7382

Greatest Common Factor

We found the factors 1824,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 1824,7382 is 2.

Lets's calculate LCM of 11,827

Given numbers has no common factors except 1. So, there LCM is their product i.e 9097

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9097

Therefore, the GCF of Fractions 1824/11,7382/827 is 2/9097

Least Common Multiple of 11,827 with GCF Formula

Least Common Multiple of 11,827 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 11,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,827) = 1

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

GCF(11,827) x common factors =1 x 1 = 1

LCM(11,827) = ( 11 × 827 ) / 1

LCM(11,827) = 9097 / 1

LCM(11,827) = 9097


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 1824/11, 7382/827

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 1824/11, 7382/827?

Answer: GCF of Numerators as per given numbers 1824/11, 7382/827 is

GCF of Numerators i.e. for 1824,7382 is 2

LCM of denominators i.e. for 11,827 is 9097.

Thus, GCF of Fractions is 2/9097.Finally, GCF of Fractions for 1824/11, 7382/827 is 2/9097.