How to Find GCF of 289/605, 173/892, 885/377?

GCF of 289/605, 173/892, 885/377

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 289/605, 173/892, 885/377 i.e 1/203451820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 289/605, 173/892, 885/377.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 289/605,173/892,885/377?

Given fractions are 289/605,173/892,885/377

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 289/605,173/892,885/377, numerators are 289,173,885

Denominators are 605,892,377

The GCF of 289,173,885 is 1 .

LCM of 605,892,377 is 203451820.

The greatest common factor of 289/605,173/892,885/377 = [GCF of 289,173,885]/[LCM of 605,892,377]= 1/203451820

Therefore, the GCF of 289/605,173/892,885/377 is 1/203451820.

Greatest Common Factor of 289,173,885

To find the highest common factor of 289,173,885, we have to find the factors of both numbers and list the highest common factor.

The factors of 289 are 1, 17, 289

The factors of 173 are 1, 173

The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885

The HCF of 289,173,885 is 1.

Lets's calculate GCF of 289,173,885

Greatest Common Factor (GCF) of 289,173,885 By Common Division

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

Greatest Common Factor of 289,173,885 By Matching Biggest Common Factor Method

Now, list down the factors of 289

1,17,289

Now, list down the factors of 173

1,173

Now, list down the factors of 885

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 289,173,885 . The biggest common factor number is the GCF number.
So the greatest common factor 289,173,885 is 1.

Lets's calculate LCM of 605,892,377

Lowest Common Multiple of 605,892,377 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 203451820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203451820

Therefore, the GCF of Fractions 289/605,173/892,885/377 is 1/203451820

Least Common Multiple of 605,892,377 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 605,892,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,892,377) = 1

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

GCF(605,892,377) x common factors =1 x 1 = 1

LCM(605,892,377) = ( 605 × 892 × 377 ) / 1

LCM(605,892,377) = 203451820 / 1

LCM(605,892,377) = 203451820

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 289/605, 173/892, 885/377

1. What is the HCF of 289,173,885?

The HCF of 289,173,885 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 289/605, 173/892, 885/377?

Answer: GCF of Numerators as per given numbers 289/605, 173/892, 885/377 is

GCF of Numerators i.e. for 289,173,885 is 1

LCM of denominators i.e. for 605,892,377 is 203451820.

Thus, GCF of Fractions is 1/203451820.Finally, GCF of Fractions for 289/605, 173/892, 885/377 is 1/203451820.