Greatest Common Factor of 686/18, 184/5451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/18, 184/5451

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 686/18,184/5451

Given fractions are 686/18,184/5451

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 686,184

Greatest Common Factor of Numerators i.e. GCF of 686,184 is 2 .

LCM of Denominators means LCM of 18,5451 as per the given fractions.

LCM of 18,5451 is 32706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,184

GCF of Fractions 686/18,184/5451 is 2/32706

2 686, 184
343, 92

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

Greatest Common Factor of 686,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,184 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 686,184 . The biggest common factor number is the GCF number.
So the greatest common factor 686,184 is 2.

Lets's calculate LCM of 18,5451

3 18, 5451
6, 1817

∴ So the LCM of the given numbers is 3 x 6 x 1817 = 32706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32706

Therefore, the GCF of Fractions 686/18,184/5451 is 2/32706

Least Common Multiple of 18,5451 with GCF Formula

Least Common Multiple of 18,5451 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 18,5451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,5451) = 3

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

GCF(18,5451) x common factors =3 x 1 = 3

LCM(18,5451) = ( 18 × 5451 ) / 3

LCM(18,5451) = 98118 / 3

LCM(18,5451) = 32706


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 686/18, 184/5451

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 686/18, 184/5451?

Answer: GCF of Numerators as per given numbers 686/18, 184/5451 is

GCF of Numerators i.e. for 686,184 is 2

LCM of denominators i.e. for 18,5451 is 32706.

Thus, GCF of Fractions is 2/32706.Finally, GCF of Fractions for 686/18, 184/5451 is 2/32706.