Greatest Common Factor of 146/14, 360/83, 320/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 146/14, 360/83, 320/275

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 146/14,360/83,320/275

Given fractions are 146/14,360/83,320/275

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 146,360,320

Greatest Common Factor of Numerators i.e. GCF of 146,360,320 is 2 .

LCM of Denominators means LCM of 14,83,275 as per the given fractions.

LCM of 14,83,275 is 319550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 146,360,320

GCF of Fractions 146/14,360/83,320/275 is 2/319550

2 146, 360, 320
73, 180, 160

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 146,360,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,360,320 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 146,360,320 . The biggest common factor number is the GCF number.
So the greatest common factor 146,360,320 is 2.

Lets's calculate LCM of 14,83,275

Given numbers has no common factors except 1. So, there LCM is their product i.e 319550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/319550

Therefore, the GCF of Fractions 146/14,360/83,320/275 is 2/319550

Least Common Multiple of 14,83,275 with GCF Formula

Least Common Multiple of 14,83,275 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 14,83,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,83,275) = 1

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

GCF(14,83,275) x common factors =1 x 1 = 1

LCM(14,83,275) = ( 14 × 83 × 275 ) / 1

LCM(14,83,275) = 319550 / 1

LCM(14,83,275) = 319550


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 146/14, 360/83, 320/275

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 146/14, 360/83, 320/275?

Answer: GCF of Numerators as per given numbers 146/14, 360/83, 320/275 is

GCF of Numerators i.e. for 146,360,320 is 2

LCM of denominators i.e. for 14,83,275 is 319550.

Thus, GCF of Fractions is 2/319550.Finally, GCF of Fractions for 146/14, 360/83, 320/275 is 2/319550.