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 162/432, 249/416

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 162/432, 249/416 i.e 3/11232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 162/432, 249/416.

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 162/432,249/416?

Given fractions are 162/432,249/416

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 162/432,249/416, numerators are 162,249

Denominators are 432,416

The GCF of 162,249 is 3 .

LCM of 432,416 is 11232.

The greatest common factor of 162/432,249/416 = [GCF of 162,249]/[LCM of 432,416]= 3/11232

Therefore, the GCF of 162/432,249/416 is 3/11232.

Greatest Common Factor of 162,249

To find the highest common factor of 162,249, 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 249 are 1, 3, 83, 249

The HCF of 162,249 is 3.

Lets's calculate GCF of 162,249

Greatest Common Factor (GCF) of 162,249 By Common Division

3 162, 249
54, 83

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

Greatest Common Factor of 162,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,249 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 249

:

1,3,83,249

Greatest Common Factor

We found the factors 162,249 . The biggest common factor number is the GCF number.
So the greatest common factor 162,249 is 3.

Lets's calculate LCM of 432,416

Lowest Common Multiple of 432,416 using Common Division

2 432, 416
2 216, 208
2 108, 104
2 54, 52
27, 26

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 27 x 26 = 11232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11232

Therefore, the GCF of Fractions 162/432,249/416 is 3/11232

Least Common Multiple of 432,416 with GCF Formula

Least Common Multiple of 432,416 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 432,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,416) = 16

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

GCF(432,416) x common factors =16 x 1 = 16

LCM(432,416) = ( 432 × 416 ) / 16

LCM(432,416) = 179712 / 16

LCM(432,416) = 11232


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 162/432, 249/416

1. What is the HCF of 162,249?

The HCF of 162,249 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 162/432, 249/416?

Answer: GCF of Numerators as per given numbers 162/432, 249/416 is

GCF of Numerators i.e. for 162,249 is 3

LCM of denominators i.e. for 432,416 is 11232.

Thus, GCF of Fractions is 3/11232.Finally, GCF of Fractions for 162/432, 249/416 is 3/11232.