Greatest Common Factor of 8432/923, 5783/8899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8432/923, 5783/8899

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 8432/923,5783/8899

Given fractions are 8432/923,5783/8899

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 8432,5783

Greatest Common Factor of Numerators i.e. GCF of 8432,5783 is 1 .

LCM of Denominators means LCM of 923,8899 as per the given fractions.

LCM of 923,8899 is 8213777 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8432,5783

GCF of Fractions 8432/923,5783/8899 is 1/8213777

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8432,5783 By Matching Biggest Common Factor Method

Greatest Common Factor of 8432,5783 By Matching Biggest Common Factor Method

Factors of 8432

List of positive integer factors of 8432 that divides 8432 without a remainder.

1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432

Factors of 5783

List of positive integer factors of 5783 that divides 5783 without a remainder.

1,5783

Greatest Common Factor

We found the factors 8432,5783 . The biggest common factor number is the GCF number.
So the greatest common factor 8432,5783 is 1.


Lets's calculate LCM of 923,8899

Given numbers has no common factors except 1. So, there LCM is their product i.e 8213777

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8213777

Therefore, the GCF of Fractions 8432/923,5783/8899 is 1/8213777

Least Common Multiple of 923,8899 with GCF Formula

Least Common Multiple of 923,8899 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 923,8899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,8899) = 1

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

GCF(923,8899) x common factors =1 x 1 = 1

LCM(923,8899) = ( 923 × 8899 ) / 1

LCM(923,8899) = 8213777 / 1

LCM(923,8899) = 8213777


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8432/923, 5783/8899

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 8432/923, 5783/8899?

Answer: GCF of Numerators as per given numbers 8432/923, 5783/8899 is

GCF of Numerators i.e. for 8432,5783 is 1

LCM of denominators i.e. for 923,8899 is 8213777.

Thus, GCF of Fractions is 1/8213777.Finally, GCF of Fractions for 8432/923, 5783/8899 is 1/8213777.