Greatest Common Factor of 1705/209, 6690/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1705/209, 6690/294

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 1705/209,6690/294

Given fractions are 1705/209,6690/294

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 1705,6690

Greatest Common Factor of Numerators i.e. GCF of 1705,6690 is 5 .

LCM of Denominators means LCM of 209,294 as per the given fractions.

LCM of 209,294 is 61446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1705,6690

GCF of Fractions 1705/209,6690/294 is 5/61446

5 1705, 6690
341, 1338

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1705,6690 By Matching Biggest Common Factor Method

Greatest Common Factor of 1705,6690 By Matching Biggest Common Factor Method

Factors of 1705

List of positive integer factors of 1705 that divides 1705 without a remainder.

1,5,11,31,55,155,341,1705

Factors of 6690

List of positive integer factors of 6690 that divides 6690 without a remainder.

1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690

Greatest Common Factor

We found the factors 1705,6690 . The biggest common factor number is the GCF number.
So the greatest common factor 1705,6690 is 5.

Lets's calculate LCM of 209,294

Given numbers has no common factors except 1. So, there LCM is their product i.e 61446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/61446

Therefore, the GCF of Fractions 1705/209,6690/294 is 5/61446

Least Common Multiple of 209,294 with GCF Formula

Least Common Multiple of 209,294 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 209,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,294) = 1

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

GCF(209,294) x common factors =1 x 1 = 1

LCM(209,294) = ( 209 × 294 ) / 1

LCM(209,294) = 61446 / 1

LCM(209,294) = 61446


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 1705/209, 6690/294

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 1705/209, 6690/294?

Answer: GCF of Numerators as per given numbers 1705/209, 6690/294 is

GCF of Numerators i.e. for 1705,6690 is 5

LCM of denominators i.e. for 209,294 is 61446.

Thus, GCF of Fractions is 5/61446.Finally, GCF of Fractions for 1705/209, 6690/294 is 5/61446.