Greatest Common Factor of 128/20, 344/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 128/20, 344/775

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 128/20,344/775

Given fractions are 128/20,344/775

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 128,344

Greatest Common Factor of Numerators i.e. GCF of 128,344 is 8 .

LCM of Denominators means LCM of 20,775 as per the given fractions.

LCM of 20,775 is 3100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 128,344

GCF of Fractions 128/20,344/775 is 8/3100

2 128, 344
2 64, 172
2 32, 86
16, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 128,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,344 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 128,344 . The biggest common factor number is the GCF number.
So the greatest common factor 128,344 is 8.

Lets's calculate LCM of 20,775

5 20, 775
4, 155

∴ So the LCM of the given numbers is 5 x 4 x 155 = 3100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3100

Therefore, the GCF of Fractions 128/20,344/775 is 8/3100

Least Common Multiple of 20,775 with GCF Formula

Least Common Multiple of 20,775 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 20,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,775) = 5

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

GCF(20,775) x common factors =5 x 1 = 5

LCM(20,775) = ( 20 × 775 ) / 5

LCM(20,775) = 15500 / 5

LCM(20,775) = 3100


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 128/20, 344/775

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 128/20, 344/775?

Answer: GCF of Numerators as per given numbers 128/20, 344/775 is

GCF of Numerators i.e. for 128,344 is 8

LCM of denominators i.e. for 20,775 is 3100.

Thus, GCF of Fractions is 8/3100.Finally, GCF of Fractions for 128/20, 344/775 is 8/3100.