Greatest Common Factor of 104/3538, 496/4569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/3538, 496/4569

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 104/3538,496/4569

Given fractions are 104/3538,496/4569

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 104,496

Greatest Common Factor of Numerators i.e. GCF of 104,496 is 8 .

LCM of Denominators means LCM of 3538,4569 as per the given fractions.

LCM of 3538,4569 is 16165122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,496

GCF of Fractions 104/3538,496/4569 is 8/16165122

2 104, 496
2 52, 248
2 26, 124
13, 62

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 104,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,496 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 104,496 . The biggest common factor number is the GCF number.
So the greatest common factor 104,496 is 8.

Lets's calculate LCM of 3538,4569

Given numbers has no common factors except 1. So, there LCM is their product i.e 16165122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/16165122

Therefore, the GCF of Fractions 104/3538,496/4569 is 8/16165122

Least Common Multiple of 3538,4569 with GCF Formula

Least Common Multiple of 3538,4569 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 3538,4569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3538,4569) = 1

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

GCF(3538,4569) x common factors =1 x 1 = 1

LCM(3538,4569) = ( 3538 × 4569 ) / 1

LCM(3538,4569) = 16165122 / 1

LCM(3538,4569) = 16165122


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 104/3538, 496/4569

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 104/3538, 496/4569?

Answer: GCF of Numerators as per given numbers 104/3538, 496/4569 is

GCF of Numerators i.e. for 104,496 is 8

LCM of denominators i.e. for 3538,4569 is 16165122.

Thus, GCF of Fractions is 8/16165122.Finally, GCF of Fractions for 104/3538, 496/4569 is 8/16165122.