Greatest Common Factor of 168/412, 785/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 168/412, 785/686

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 168/412,785/686

Given fractions are 168/412,785/686

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 168,785

Greatest Common Factor of Numerators i.e. GCF of 168,785 is 1 .

LCM of Denominators means LCM of 412,686 as per the given fractions.

LCM of 412,686 is 141316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 168,785

GCF of Fractions 168/412,785/686 is 1/141316

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

Greatest Common Factor of 168,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,785 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 168,785 . The biggest common factor number is the GCF number.
So the greatest common factor 168,785 is 1.

Lets's calculate LCM of 412,686

2 412, 686
206, 343

∴ So the LCM of the given numbers is 2 x 206 x 343 = 141316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141316

Therefore, the GCF of Fractions 168/412,785/686 is 1/141316

Least Common Multiple of 412,686 with GCF Formula

Least Common Multiple of 412,686 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 412,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,686) = 2

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

GCF(412,686) x common factors =2 x 1 = 2

LCM(412,686) = ( 412 × 686 ) / 2

LCM(412,686) = 282632 / 2

LCM(412,686) = 141316


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 168/412, 785/686

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 168/412, 785/686?

Answer: GCF of Numerators as per given numbers 168/412, 785/686 is

GCF of Numerators i.e. for 168,785 is 1

LCM of denominators i.e. for 412,686 is 141316.

Thus, GCF of Fractions is 1/141316.Finally, GCF of Fractions for 168/412, 785/686 is 1/141316.