Greatest Common Factor of 240/88, 356/19, 328/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/88, 356/19, 328/168

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 240/88,356/19,328/168

Given fractions are 240/88,356/19,328/168

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 240,356,328

Greatest Common Factor of Numerators i.e. GCF of 240,356,328 is 4 .

LCM of Denominators means LCM of 88,19,168 as per the given fractions.

LCM of 88,19,168 is 35112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,356,328

GCF of Fractions 240/88,356/19,328/168 is 4/35112

2 240, 356, 328
2 120, 178, 164
60, 89, 82

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 240,356,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,356,328 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 240,356,328 . The biggest common factor number is the GCF number.
So the greatest common factor 240,356,328 is 4.

Lets's calculate LCM of 88,19,168

2 88, 19, 168
2 44, 19, 84
2 22, 19, 42
11, 19, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 19 x 21 = 35112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35112

Therefore, the GCF of Fractions 240/88,356/19,328/168 is 4/35112

Least Common Multiple of 88,19,168 with GCF Formula

Least Common Multiple of 88,19,168 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 88,19,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,19,168) = 1

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

GCF(88,19,168) x common factors =1 x 8 = 8

LCM(88,19,168) = ( 88 × 19 × 168 ) / 8

LCM(88,19,168) = 280896 / 8

LCM(88,19,168) = 35112


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 240/88, 356/19, 328/168

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 240/88, 356/19, 328/168?

Answer: GCF of Numerators as per given numbers 240/88, 356/19, 328/168 is

GCF of Numerators i.e. for 240,356,328 is 4

LCM of denominators i.e. for 88,19,168 is 35112.

Thus, GCF of Fractions is 4/35112.Finally, GCF of Fractions for 240/88, 356/19, 328/168 is 4/35112.