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GCF of 285/300, 361/161

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 285/300, 361/161 i.e 19/48300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 285/300, 361/161.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 285/300,361/161?

Given fractions are 285/300,361/161

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 285/300,361/161, numerators are 285,361

Denominators are 300,161

The GCF of 285,361 is 19 .

LCM of 300,161 is 48300.

The greatest common factor of 285/300,361/161 = [GCF of 285,361]/[LCM of 300,161]= 19/48300

Therefore, the GCF of 285/300,361/161 is 19/48300.

Greatest Common Factor of 285,361

To find the highest common factor of 285,361, we have to find the factors of both numbers and list the highest common factor.

The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285

The factors of 361 are 1, 19, 361

The HCF of 285,361 is 19.

Lets's calculate GCF of 285,361

Greatest Common Factor (GCF) of 285,361 By Common Division

19 285, 361
15, 19

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 285,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,361 By Matching Biggest Common Factor Method

Now, list down the factors of 285

:

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

Now, list down the factors of 361

:

1,19,361

Greatest Common Factor

We found the factors 285,361 . The biggest common factor number is the GCF number.
So the greatest common factor 285,361 is 19.

Lets's calculate LCM of 300,161

Lowest Common Multiple of 300,161 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 48300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/48300

Therefore, the GCF of Fractions 285/300,361/161 is 19/48300

Least Common Multiple of 300,161 with GCF Formula

Least Common Multiple of 300,161 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 300,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,161) = 1

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

GCF(300,161) x common factors =1 x 1 = 1

LCM(300,161) = ( 300 × 161 ) / 1

LCM(300,161) = 48300 / 1

LCM(300,161) = 48300


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FAQs on GCF of Fractions of 285/300, 361/161

1. What is the HCF of 285,361?

The HCF of 285,361 is 19

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 285/300, 361/161?

Answer: GCF of Numerators as per given numbers 285/300, 361/161 is

GCF of Numerators i.e. for 285,361 is 19

LCM of denominators i.e. for 300,161 is 48300.

Thus, GCF of Fractions is 19/48300.Finally, GCF of Fractions for 285/300, 361/161 is 19/48300.