Greatest Common Factor of 1824/97, 8703/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1824/97, 8703/834

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 1824/97,8703/834

Given fractions are 1824/97,8703/834

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 1824,8703

Greatest Common Factor of Numerators i.e. GCF of 1824,8703 is 3 .

LCM of Denominators means LCM of 97,834 as per the given fractions.

LCM of 97,834 is 80898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1824,8703

GCF of Fractions 1824/97,8703/834 is 3/80898

3 1824, 8703
608, 2901

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

Greatest Common Factor of 1824,8703 By Matching Biggest Common Factor Method

Greatest Common Factor of 1824,8703 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 8703

List of positive integer factors of 8703 that divides 8703 without a remainder.

1,3,9,967,2901,8703

Greatest Common Factor

We found the factors 1824,8703 . The biggest common factor number is the GCF number.
So the greatest common factor 1824,8703 is 3.

Lets's calculate LCM of 97,834

Given numbers has no common factors except 1. So, there LCM is their product i.e 80898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/80898

Therefore, the GCF of Fractions 1824/97,8703/834 is 3/80898

Least Common Multiple of 97,834 with GCF Formula

Least Common Multiple of 97,834 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 97,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,834) = 1

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

GCF(97,834) x common factors =1 x 1 = 1

LCM(97,834) = ( 97 × 834 ) / 1

LCM(97,834) = 80898 / 1

LCM(97,834) = 80898


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 1824/97, 8703/834

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 1824/97, 8703/834?

Answer: GCF of Numerators as per given numbers 1824/97, 8703/834 is

GCF of Numerators i.e. for 1824,8703 is 3

LCM of denominators i.e. for 97,834 is 80898.

Thus, GCF of Fractions is 3/80898.Finally, GCF of Fractions for 1824/97, 8703/834 is 3/80898.