Greatest Common Factor of 445/69, 235/24, 184/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 445/69, 235/24, 184/143

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 445/69,235/24,184/143

Given fractions are 445/69,235/24,184/143

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 445,235,184

Greatest Common Factor of Numerators i.e. GCF of 445,235,184 is 1 .

LCM of Denominators means LCM of 69,24,143 as per the given fractions.

LCM of 69,24,143 is 78936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 445,235,184

GCF of Fractions 445/69,235/24,184/143 is 1/78936

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

Greatest Common Factor of 445,235,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,235,184 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 445,235,184 . The biggest common factor number is the GCF number.
So the greatest common factor 445,235,184 is 1.

Lets's calculate LCM of 69,24,143

3 69, 24, 143
23, 8, 143

∴ So the LCM of the given numbers is 3 x 23 x 8 x 143 = 78936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78936

Therefore, the GCF of Fractions 445/69,235/24,184/143 is 1/78936

Least Common Multiple of 69,24,143 with GCF Formula

Least Common Multiple of 69,24,143 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 69,24,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,24,143) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,24,143) x common factors =1 x 3 = 3

LCM(69,24,143) = ( 69 × 24 × 143 ) / 3

LCM(69,24,143) = 236808 / 3

LCM(69,24,143) = 78936


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 445/69, 235/24, 184/143

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 445/69, 235/24, 184/143?

Answer: GCF of Numerators as per given numbers 445/69, 235/24, 184/143 is

GCF of Numerators i.e. for 445,235,184 is 1

LCM of denominators i.e. for 69,24,143 is 78936.

Thus, GCF of Fractions is 1/78936.Finally, GCF of Fractions for 445/69, 235/24, 184/143 is 1/78936.