Greatest Common Factor of 6309/583, 9552/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6309/583, 9552/829

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 6309/583,9552/829

Given fractions are 6309/583,9552/829

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 6309,9552

Greatest Common Factor of Numerators i.e. GCF of 6309,9552 is 3 .

LCM of Denominators means LCM of 583,829 as per the given fractions.

LCM of 583,829 is 483307 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6309,9552

GCF of Fractions 6309/583,9552/829 is 3/483307

3 6309, 9552
2103, 3184

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

Greatest Common Factor of 6309,9552 By Matching Biggest Common Factor Method

Greatest Common Factor of 6309,9552 By Matching Biggest Common Factor Method

Factors of 6309

List of positive integer factors of 6309 that divides 6309 without a remainder.

1,3,9,701,2103,6309

Factors of 9552

List of positive integer factors of 9552 that divides 9552 without a remainder.

1,2,3,4,6,8,12,16,24,48,199,398,597,796,1194,1592,2388,3184,4776,9552

Greatest Common Factor

We found the factors 6309,9552 . The biggest common factor number is the GCF number.
So the greatest common factor 6309,9552 is 3.

Lets's calculate LCM of 583,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 483307

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/483307

Therefore, the GCF of Fractions 6309/583,9552/829 is 3/483307

Least Common Multiple of 583,829 with GCF Formula

Least Common Multiple of 583,829 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 583,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,829) = 1

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

GCF(583,829) x common factors =1 x 1 = 1

LCM(583,829) = ( 583 × 829 ) / 1

LCM(583,829) = 483307 / 1

LCM(583,829) = 483307


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 6309/583, 9552/829

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 6309/583, 9552/829?

Answer: GCF of Numerators as per given numbers 6309/583, 9552/829 is

GCF of Numerators i.e. for 6309,9552 is 3

LCM of denominators i.e. for 583,829 is 483307.

Thus, GCF of Fractions is 3/483307.Finally, GCF of Fractions for 6309/583, 9552/829 is 3/483307.