LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 309/871, 162/289

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 309/871, 162/289 i.e 3/251719 easily. The following is the detailed procedure to determine the greatest common factor of fractions 309/871, 162/289.

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 309/871,162/289?

Given fractions are 309/871,162/289

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 309/871,162/289, numerators are 309,162

Denominators are 871,289

The GCF of 309,162 is 3 .

LCM of 871,289 is 251719.

The greatest common factor of 309/871,162/289 = [GCF of 309,162]/[LCM of 871,289]= 3/251719

Therefore, the GCF of 309/871,162/289 is 3/251719.

Greatest Common Factor of 309,162

To find the highest common factor of 309,162, we have to find the factors of both numbers and list the highest common factor.

The factors of 309 are 1, 3, 103, 309

The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

The HCF of 309,162 is 3.

Lets's calculate GCF of 309,162

Greatest Common Factor (GCF) of 309,162 By Common Division

3 309, 162
103, 54

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

Greatest Common Factor of 309,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,162 By Matching Biggest Common Factor Method

Now, list down the factors of 309

:

1,3,103,309

Now, list down the factors of 162

:

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 309,162 . The biggest common factor number is the GCF number.
So the greatest common factor 309,162 is 3.

Lets's calculate LCM of 871,289

Lowest Common Multiple of 871,289 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 251719

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/251719

Therefore, the GCF of Fractions 309/871,162/289 is 3/251719

Least Common Multiple of 871,289 with GCF Formula

Least Common Multiple of 871,289 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 871,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,289) = 1

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

GCF(871,289) x common factors =1 x 1 = 1

LCM(871,289) = ( 871 × 289 ) / 1

LCM(871,289) = 251719 / 1

LCM(871,289) = 251719


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 309/871, 162/289

1. What is the HCF of 309,162?

The HCF of 309,162 is 3

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 309/871, 162/289?

Answer: GCF of Numerators as per given numbers 309/871, 162/289 is

GCF of Numerators i.e. for 309,162 is 3

LCM of denominators i.e. for 871,289 is 251719.

Thus, GCF of Fractions is 3/251719.Finally, GCF of Fractions for 309/871, 162/289 is 3/251719.