Greatest Common Factor of 894/43, 8030/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 894/43, 8030/923

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 894/43,8030/923

Given fractions are 894/43,8030/923

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 894,8030

Greatest Common Factor of Numerators i.e. GCF of 894,8030 is 2 .

LCM of Denominators means LCM of 43,923 as per the given fractions.

LCM of 43,923 is 39689 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 894,8030

GCF of Fractions 894/43,8030/923 is 2/39689

2 894, 8030
447, 4015

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

Greatest Common Factor of 894,8030 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,8030 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 8030

List of positive integer factors of 8030 that divides 8030 without a remainder.

1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030

Greatest Common Factor

We found the factors 894,8030 . The biggest common factor number is the GCF number.
So the greatest common factor 894,8030 is 2.

Lets's calculate LCM of 43,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 39689

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39689

Therefore, the GCF of Fractions 894/43,8030/923 is 2/39689

Least Common Multiple of 43,923 with GCF Formula

Least Common Multiple of 43,923 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 43,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,923) = 1

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

GCF(43,923) x common factors =1 x 1 = 1

LCM(43,923) = ( 43 × 923 ) / 1

LCM(43,923) = 39689 / 1

LCM(43,923) = 39689


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 894/43, 8030/923

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 894/43, 8030/923?

Answer: GCF of Numerators as per given numbers 894/43, 8030/923 is

GCF of Numerators i.e. for 894,8030 is 2

LCM of denominators i.e. for 43,923 is 39689.

Thus, GCF of Fractions is 2/39689.Finally, GCF of Fractions for 894/43, 8030/923 is 2/39689.