Greatest Common Factor of 483/35, 667/18, 345/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 483/35, 667/18, 345/349

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 483/35,667/18,345/349

Given fractions are 483/35,667/18,345/349

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 483,667,345

Greatest Common Factor of Numerators i.e. GCF of 483,667,345 is 23 .

LCM of Denominators means LCM of 35,18,349 as per the given fractions.

LCM of 35,18,349 is 219870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,667,345

GCF of Fractions 483/35,667/18,345/349 is 23/219870

23 483, 667, 345
21, 29, 15

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 483,667,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,667,345 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 483,667,345 . The biggest common factor number is the GCF number.
So the greatest common factor 483,667,345 is 23.


Lets's calculate LCM of 35,18,349

Given numbers has no common factors except 1. So, there LCM is their product i.e 219870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/219870

Therefore, the GCF of Fractions 483/35,667/18,345/349 is 23/219870

Least Common Multiple of 35,18,349 with GCF Formula

Least Common Multiple of 35,18,349 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 35,18,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,18,349) = 1

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

GCF(35,18,349) x common factors =1 x 1 = 1

LCM(35,18,349) = ( 35 × 18 × 349 ) / 1

LCM(35,18,349) = 219870 / 1

LCM(35,18,349) = 219870


GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 483/35, 667/18, 345/349

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 483/35, 667/18, 345/349?

Answer: GCF of Numerators as per given numbers 483/35, 667/18, 345/349 is

GCF of Numerators i.e. for 483,667,345 is 23

LCM of denominators i.e. for 35,18,349 is 219870.

Thus, GCF of Fractions is 23/219870.Finally, GCF of Fractions for 483/35, 667/18, 345/349 is 23/219870.