Greatest Common Factor of 3403/39, 5204/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3403/39, 5204/932

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 3403/39,5204/932

Given fractions are 3403/39,5204/932

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 3403,5204

Greatest Common Factor of Numerators i.e. GCF of 3403,5204 is 1 .

LCM of Denominators means LCM of 39,932 as per the given fractions.

LCM of 39,932 is 36348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3403,5204

GCF of Fractions 3403/39,5204/932 is 1/36348

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

Greatest Common Factor of 3403,5204 By Matching Biggest Common Factor Method

Greatest Common Factor of 3403,5204 By Matching Biggest Common Factor Method

Factors of 3403

List of positive integer factors of 3403 that divides 3403 without a remainder.

1,41,83,3403

Factors of 5204

List of positive integer factors of 5204 that divides 5204 without a remainder.

1,2,4,1301,2602,5204

Greatest Common Factor

We found the factors 3403,5204 . The biggest common factor number is the GCF number.
So the greatest common factor 3403,5204 is 1.

Lets's calculate LCM of 39,932

Given numbers has no common factors except 1. So, there LCM is their product i.e 36348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36348

Therefore, the GCF of Fractions 3403/39,5204/932 is 1/36348

Least Common Multiple of 39,932 with GCF Formula

Least Common Multiple of 39,932 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 39,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,932) = 1

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

GCF(39,932) x common factors =1 x 1 = 1

LCM(39,932) = ( 39 × 932 ) / 1

LCM(39,932) = 36348 / 1

LCM(39,932) = 36348


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 3403/39, 5204/932

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 3403/39, 5204/932?

Answer: GCF of Numerators as per given numbers 3403/39, 5204/932 is

GCF of Numerators i.e. for 3403,5204 is 1

LCM of denominators i.e. for 39,932 is 36348.

Thus, GCF of Fractions is 1/36348.Finally, GCF of Fractions for 3403/39, 5204/932 is 1/36348.