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 162/301, 327/962

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 162/301, 327/962 i.e 3/289562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 162/301, 327/962.

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 162/301,327/962?

Given fractions are 162/301,327/962

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 162/301,327/962, numerators are 162,327

Denominators are 301,962

The GCF of 162,327 is 3 .

LCM of 301,962 is 289562.

The greatest common factor of 162/301,327/962 = [GCF of 162,327]/[LCM of 301,962]= 3/289562

Therefore, the GCF of 162/301,327/962 is 3/289562.

Greatest Common Factor of 162,327

To find the highest common factor of 162,327, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 327 are 1, 3, 109, 327

The HCF of 162,327 is 3.

Lets's calculate GCF of 162,327

Greatest Common Factor (GCF) of 162,327 By Common Division

3 162, 327
54, 109

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

Greatest Common Factor of 162,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,327 By Matching Biggest Common Factor Method

Now, list down the factors of 162

:

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

Now, list down the factors of 327

:

1,3,109,327

Greatest Common Factor

We found the factors 162,327 . The biggest common factor number is the GCF number.
So the greatest common factor 162,327 is 3.

Lets's calculate LCM of 301,962

Lowest Common Multiple of 301,962 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 289562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/289562

Therefore, the GCF of Fractions 162/301,327/962 is 3/289562

Least Common Multiple of 301,962 with GCF Formula

Least Common Multiple of 301,962 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 301,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,962) = 1

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

GCF(301,962) x common factors =1 x 1 = 1

LCM(301,962) = ( 301 × 962 ) / 1

LCM(301,962) = 289562 / 1

LCM(301,962) = 289562


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 162/301, 327/962

1. What is the HCF of 162,327?

The HCF of 162,327 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 162/301, 327/962?

Answer: GCF of Numerators as per given numbers 162/301, 327/962 is

GCF of Numerators i.e. for 162,327 is 3

LCM of denominators i.e. for 301,962 is 289562.

Thus, GCF of Fractions is 3/289562.Finally, GCF of Fractions for 162/301, 327/962 is 3/289562.