Greatest Common Factor of 4330/983, 8227/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4330/983, 8227/868

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 4330/983,8227/868

Given fractions are 4330/983,8227/868

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 4330,8227

Greatest Common Factor of Numerators i.e. GCF of 4330,8227 is 433 .

LCM of Denominators means LCM of 983,868 as per the given fractions.

LCM of 983,868 is 853244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4330,8227

GCF of Fractions 4330/983,8227/868 is 433/853244

433 4330, 8227
10, 19

∴ So the GCF of the given numbers is 433 = 433

Greatest Common Factor of 4330,8227 By Matching Biggest Common Factor Method

Greatest Common Factor of 4330,8227 By Matching Biggest Common Factor Method

Factors of 4330

List of positive integer factors of 4330 that divides 4330 without a remainder.

1,2,5,10,433,866,2165,4330

Factors of 8227

List of positive integer factors of 8227 that divides 8227 without a remainder.

1,19,433,8227

Greatest Common Factor

We found the factors 4330,8227 . The biggest common factor number is the GCF number.
So the greatest common factor 4330,8227 is 433.

Lets's calculate LCM of 983,868

Given numbers has no common factors except 1. So, there LCM is their product i.e 853244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 433/853244

Therefore, the GCF of Fractions 4330/983,8227/868 is 433/853244

Least Common Multiple of 983,868 with GCF Formula

Least Common Multiple of 983,868 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 983,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,868) = 1

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

GCF(983,868) x common factors =1 x 1 = 1

LCM(983,868) = ( 983 × 868 ) / 1

LCM(983,868) = 853244 / 1

LCM(983,868) = 853244


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 4330/983, 8227/868

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 4330/983, 8227/868?

Answer: GCF of Numerators as per given numbers 4330/983, 8227/868 is

GCF of Numerators i.e. for 4330,8227 is 433

LCM of denominators i.e. for 983,868 is 853244.

Thus, GCF of Fractions is 433/853244.Finally, GCF of Fractions for 4330/983, 8227/868 is 433/853244.