Greatest Common Factor of 808/160, 149/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 808/160, 149/272

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 808/160,149/272

Given fractions are 808/160,149/272

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 808,149

Greatest Common Factor of Numerators i.e. GCF of 808,149 is 1 .

LCM of Denominators means LCM of 160,272 as per the given fractions.

LCM of 160,272 is 2720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 808,149

GCF of Fractions 808/160,149/272 is 1/2720

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

Greatest Common Factor of 808,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,149 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 808,149 . The biggest common factor number is the GCF number.
So the greatest common factor 808,149 is 1.

Lets's calculate LCM of 160,272

2 160, 272
2 80, 136
2 40, 68
2 20, 34
10, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 10 x 17 = 2720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2720

Therefore, the GCF of Fractions 808/160,149/272 is 1/2720

Least Common Multiple of 160,272 with GCF Formula

Least Common Multiple of 160,272 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 160,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,272) = 16

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

GCF(160,272) x common factors =16 x 1 = 16

LCM(160,272) = ( 160 × 272 ) / 16

LCM(160,272) = 43520 / 16

LCM(160,272) = 2720


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 808/160, 149/272

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 808/160, 149/272?

Answer: GCF of Numerators as per given numbers 808/160, 149/272 is

GCF of Numerators i.e. for 808,149 is 1

LCM of denominators i.e. for 160,272 is 2720.

Thus, GCF of Fractions is 1/2720.Finally, GCF of Fractions for 808/160, 149/272 is 1/2720.