Greatest Common Factor of 345/309, 8211/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 345/309, 8211/272

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 345/309,8211/272

Given fractions are 345/309,8211/272

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 345,8211

Greatest Common Factor of Numerators i.e. GCF of 345,8211 is 69 .

LCM of Denominators means LCM of 309,272 as per the given fractions.

LCM of 309,272 is 84048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 345,8211

GCF of Fractions 345/309,8211/272 is 69/84048

3 345, 8211
23 115, 2737
5, 119

∴ So the GCF of the given numbers is 3 x 23 = 69

Greatest Common Factor of 345,8211 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,8211 By Matching Biggest Common Factor Method

Factors of 345

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

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

Factors of 8211

List of positive integer factors of 8211 that divides 8211 without a remainder.

1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211

Greatest Common Factor

We found the factors 345,8211 . The biggest common factor number is the GCF number.
So the greatest common factor 345,8211 is 69.


Lets's calculate LCM of 309,272

Given numbers has no common factors except 1. So, there LCM is their product i.e 84048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/84048

Therefore, the GCF of Fractions 345/309,8211/272 is 69/84048

Least Common Multiple of 309,272 with GCF Formula

Least Common Multiple of 309,272 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 309,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,272) = 1

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

GCF(309,272) x common factors =1 x 1 = 1

LCM(309,272) = ( 309 × 272 ) / 1

LCM(309,272) = 84048 / 1

LCM(309,272) = 84048


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 345/309, 8211/272

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 345/309, 8211/272?

Answer: GCF of Numerators as per given numbers 345/309, 8211/272 is

GCF of Numerators i.e. for 345,8211 is 69

LCM of denominators i.e. for 309,272 is 84048.

Thus, GCF of Fractions is 69/84048.Finally, GCF of Fractions for 345/309, 8211/272 is 69/84048.