Greatest Common Factor of 473/694, 149/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 473/694, 149/209

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 473/694,149/209

Given fractions are 473/694,149/209

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 473,149

Greatest Common Factor of Numerators i.e. GCF of 473,149 is 1 .

LCM of Denominators means LCM of 694,209 as per the given fractions.

LCM of 694,209 is 145046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 473,149

GCF of Fractions 473/694,149/209 is 1/145046

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

Greatest Common Factor of 473,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,149 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 473,149 . The biggest common factor number is the GCF number.
So the greatest common factor 473,149 is 1.

Lets's calculate LCM of 694,209

Given numbers has no common factors except 1. So, there LCM is their product i.e 145046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145046

Therefore, the GCF of Fractions 473/694,149/209 is 1/145046

Least Common Multiple of 694,209 with GCF Formula

Least Common Multiple of 694,209 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 694,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,209) = 1

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

GCF(694,209) x common factors =1 x 1 = 1

LCM(694,209) = ( 694 × 209 ) / 1

LCM(694,209) = 145046 / 1

LCM(694,209) = 145046


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 473/694, 149/209

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 473/694, 149/209?

Answer: GCF of Numerators as per given numbers 473/694, 149/209 is

GCF of Numerators i.e. for 473,149 is 1

LCM of denominators i.e. for 694,209 is 145046.

Thus, GCF of Fractions is 1/145046.Finally, GCF of Fractions for 473/694, 149/209 is 1/145046.