Greatest Common Factor of 162/40, 299/97, 349/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/40, 299/97, 349/416

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 162/40,299/97,349/416

Given fractions are 162/40,299/97,349/416

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 162,299,349

Greatest Common Factor of Numerators i.e. GCF of 162,299,349 is 1 .

LCM of Denominators means LCM of 40,97,416 as per the given fractions.

LCM of 40,97,416 is 201760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,299,349

GCF of Fractions 162/40,299/97,349/416 is 1/201760

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

Greatest Common Factor of 162,299,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,299,349 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

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

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 162,299,349 . The biggest common factor number is the GCF number.
So the greatest common factor 162,299,349 is 1.

Lets's calculate LCM of 40,97,416

2 40, 97, 416
2 20, 97, 208
2 10, 97, 104
5, 97, 52

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 97 x 52 = 201760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201760

Therefore, the GCF of Fractions 162/40,299/97,349/416 is 1/201760

Least Common Multiple of 40,97,416 with GCF Formula

Least Common Multiple of 40,97,416 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 40,97,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,97,416) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(40,97,416) x common factors =1 x 8 = 8

LCM(40,97,416) = ( 40 × 97 × 416 ) / 8

LCM(40,97,416) = 1614080 / 8

LCM(40,97,416) = 201760


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 162/40, 299/97, 349/416

1. 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.

2. What is the GCF of Fractions for 162/40, 299/97, 349/416?

Answer: GCF of Numerators as per given numbers 162/40, 299/97, 349/416 is

GCF of Numerators i.e. for 162,299,349 is 1

LCM of denominators i.e. for 40,97,416 is 201760.

Thus, GCF of Fractions is 1/201760.Finally, GCF of Fractions for 162/40, 299/97, 349/416 is 1/201760.