Greatest Common Factor of 683/210, 3343/4676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 683/210, 3343/4676

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 683/210,3343/4676

Given fractions are 683/210,3343/4676

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 683,3343

Greatest Common Factor of Numerators i.e. GCF of 683,3343 is 1 .

LCM of Denominators means LCM of 210,4676 as per the given fractions.

LCM of 210,4676 is 70140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 683,3343

GCF of Fractions 683/210,3343/4676 is 1/70140

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

Greatest Common Factor of 683,3343 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,3343 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 3343

List of positive integer factors of 3343 that divides 3343 without a remainder.

1,3343

Greatest Common Factor

We found the factors 683,3343 . The biggest common factor number is the GCF number.
So the greatest common factor 683,3343 is 1.

Lets's calculate LCM of 210,4676

2 210, 4676
7 105, 2338
15, 334

∴ So the LCM of the given numbers is 2 x 7 x 15 x 334 = 70140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70140

Therefore, the GCF of Fractions 683/210,3343/4676 is 1/70140

Least Common Multiple of 210,4676 with GCF Formula

Least Common Multiple of 210,4676 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 210,4676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,4676) = 14

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

GCF(210,4676) x common factors =14 x 1 = 14

LCM(210,4676) = ( 210 × 4676 ) / 14

LCM(210,4676) = 981960 / 14

LCM(210,4676) = 70140


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 683/210, 3343/4676

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 683/210, 3343/4676?

Answer: GCF of Numerators as per given numbers 683/210, 3343/4676 is

GCF of Numerators i.e. for 683,3343 is 1

LCM of denominators i.e. for 210,4676 is 70140.

Thus, GCF of Fractions is 1/70140.Finally, GCF of Fractions for 683/210, 3343/4676 is 1/70140.