Greatest Common Factor of 3209/542, 9508/9029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3209/542, 9508/9029

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 3209/542,9508/9029

Given fractions are 3209/542,9508/9029

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 3209,9508

Greatest Common Factor of Numerators i.e. GCF of 3209,9508 is 1 .

LCM of Denominators means LCM of 542,9029 as per the given fractions.

LCM of 542,9029 is 4893718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3209,9508

GCF of Fractions 3209/542,9508/9029 is 1/4893718

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

Greatest Common Factor of 3209,9508 By Matching Biggest Common Factor Method

Greatest Common Factor of 3209,9508 By Matching Biggest Common Factor Method

Factors of 3209

List of positive integer factors of 3209 that divides 3209 without a remainder.

1,3209

Factors of 9508

List of positive integer factors of 9508 that divides 9508 without a remainder.

1,2,4,2377,4754,9508

Greatest Common Factor

We found the factors 3209,9508 . The biggest common factor number is the GCF number.
So the greatest common factor 3209,9508 is 1.

Lets's calculate LCM of 542,9029

Given numbers has no common factors except 1. So, there LCM is their product i.e 4893718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4893718

Therefore, the GCF of Fractions 3209/542,9508/9029 is 1/4893718

Least Common Multiple of 542,9029 with GCF Formula

Least Common Multiple of 542,9029 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 542,9029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,9029) = 1

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

GCF(542,9029) x common factors =1 x 1 = 1

LCM(542,9029) = ( 542 × 9029 ) / 1

LCM(542,9029) = 4893718 / 1

LCM(542,9029) = 4893718


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 3209/542, 9508/9029

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 3209/542, 9508/9029?

Answer: GCF of Numerators as per given numbers 3209/542, 9508/9029 is

GCF of Numerators i.e. for 3209,9508 is 1

LCM of denominators i.e. for 542,9029 is 4893718.

Thus, GCF of Fractions is 1/4893718.Finally, GCF of Fractions for 3209/542, 9508/9029 is 1/4893718.