Greatest Common Factor of 69/80, 12/37, 285/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/80, 12/37, 285/215

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 69/80,12/37,285/215

Given fractions are 69/80,12/37,285/215

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 69,12,285

Greatest Common Factor of Numerators i.e. GCF of 69,12,285 is 3 .

LCM of Denominators means LCM of 80,37,215 as per the given fractions.

LCM of 80,37,215 is 127280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,12,285

GCF of Fractions 69/80,12/37,285/215 is 3/127280

3 69, 12, 285
23, 4, 95

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 69,12,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,12,285 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 69,12,285 . The biggest common factor number is the GCF number.
So the greatest common factor 69,12,285 is 3.

Lets's calculate LCM of 80,37,215

5 80, 37, 215
16, 37, 43

∴ So the LCM of the given numbers is 5 x 16 x 37 x 43 = 127280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/127280

Therefore, the GCF of Fractions 69/80,12/37,285/215 is 3/127280

Least Common Multiple of 80,37,215 with GCF Formula

Least Common Multiple of 80,37,215 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 80,37,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,37,215) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(80,37,215) x common factors =1 x 5 = 5

LCM(80,37,215) = ( 80 × 37 × 215 ) / 5

LCM(80,37,215) = 636400 / 5

LCM(80,37,215) = 127280


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 69/80, 12/37, 285/215

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 69/80, 12/37, 285/215?

Answer: GCF of Numerators as per given numbers 69/80, 12/37, 285/215 is

GCF of Numerators i.e. for 69,12,285 is 3

LCM of denominators i.e. for 80,37,215 is 127280.

Thus, GCF of Fractions is 3/127280.Finally, GCF of Fractions for 69/80, 12/37, 285/215 is 3/127280.