Greatest Common Factor of 361/240, 187/808, 299/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 361/240, 187/808, 299/160

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 361/240,187/808,299/160

Given fractions are 361/240,187/808,299/160

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 361,187,299

Greatest Common Factor of Numerators i.e. GCF of 361,187,299 is 1 .

LCM of Denominators means LCM of 240,808,160 as per the given fractions.

LCM of 240,808,160 is 48480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 361,187,299

GCF of Fractions 361/240,187/808,299/160 is 1/48480

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

Greatest Common Factor of 361,187,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,187,299 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 299

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

1,13,23,299

Greatest Common Factor

We found the factors 361,187,299 . The biggest common factor number is the GCF number.
So the greatest common factor 361,187,299 is 1.

Lets's calculate LCM of 240,808,160

2 240, 808, 160
2 120, 404, 80
2 60, 202, 40
2 30, 101, 20
5 15, 101, 10
3, 101, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 3 x 101 x 2 = 48480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48480

Therefore, the GCF of Fractions 361/240,187/808,299/160 is 1/48480

Least Common Multiple of 240,808,160 with GCF Formula

Least Common Multiple of 240,808,160 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 240,808,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,808,160) = 8

common factors(in case of two or more numbers have common factors) = 80

GCF(240,808,160) x common factors =8 x 80 = 640

LCM(240,808,160) = ( 240 × 808 × 160 ) / 640

LCM(240,808,160) = 31027200 / 640

LCM(240,808,160) = 48480


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 361/240, 187/808, 299/160

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 361/240, 187/808, 299/160?

Answer: GCF of Numerators as per given numbers 361/240, 187/808, 299/160 is

GCF of Numerators i.e. for 361,187,299 is 1

LCM of denominators i.e. for 240,808,160 is 48480.

Thus, GCF of Fractions is 1/48480.Finally, GCF of Fractions for 361/240, 187/808, 299/160 is 1/48480.