Greatest Common Factor of 5658/82, 7384/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5658/82, 7384/349

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 5658/82,7384/349

Given fractions are 5658/82,7384/349

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 5658,7384

Greatest Common Factor of Numerators i.e. GCF of 5658,7384 is 2 .

LCM of Denominators means LCM of 82,349 as per the given fractions.

LCM of 82,349 is 28618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5658,7384

GCF of Fractions 5658/82,7384/349 is 2/28618

2 5658, 7384
2829, 3692

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

Greatest Common Factor of 5658,7384 By Matching Biggest Common Factor Method

Greatest Common Factor of 5658,7384 By Matching Biggest Common Factor Method

Factors of 5658

List of positive integer factors of 5658 that divides 5658 without a remainder.

1,2,3,6,23,41,46,69,82,123,138,246,943,1886,2829,5658

Factors of 7384

List of positive integer factors of 7384 that divides 7384 without a remainder.

1,2,4,8,13,26,52,71,104,142,284,568,923,1846,3692,7384

Greatest Common Factor

We found the factors 5658,7384 . The biggest common factor number is the GCF number.
So the greatest common factor 5658,7384 is 2.

Lets's calculate LCM of 82,349

Given numbers has no common factors except 1. So, there LCM is their product i.e 28618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28618

Therefore, the GCF of Fractions 5658/82,7384/349 is 2/28618

Least Common Multiple of 82,349 with GCF Formula

Least Common Multiple of 82,349 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 82,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,349) = 1

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

GCF(82,349) x common factors =1 x 1 = 1

LCM(82,349) = ( 82 × 349 ) / 1

LCM(82,349) = 28618 / 1

LCM(82,349) = 28618


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 5658/82, 7384/349

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 5658/82, 7384/349?

Answer: GCF of Numerators as per given numbers 5658/82, 7384/349 is

GCF of Numerators i.e. for 5658,7384 is 2

LCM of denominators i.e. for 82,349 is 28618.

Thus, GCF of Fractions is 2/28618.Finally, GCF of Fractions for 5658/82, 7384/349 is 2/28618.