Greatest Common Factor of 128/175, 1331/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 128/175, 1331/461

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 128/175,1331/461

Given fractions are 128/175,1331/461

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 128,1331

Greatest Common Factor of Numerators i.e. GCF of 128,1331 is 1 .

LCM of Denominators means LCM of 175,461 as per the given fractions.

LCM of 175,461 is 80675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 128,1331

GCF of Fractions 128/175,1331/461 is 1/80675

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

Greatest Common Factor of 128,1331 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,1331 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 1331

List of positive integer factors of 1331 that divides 1331 without a remainder.

1,11,121,1331

Greatest Common Factor

We found the factors 128,1331 . The biggest common factor number is the GCF number.
So the greatest common factor 128,1331 is 1.

Lets's calculate LCM of 175,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 80675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80675

Therefore, the GCF of Fractions 128/175,1331/461 is 1/80675

Least Common Multiple of 175,461 with GCF Formula

Least Common Multiple of 175,461 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 175,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,461) = 1

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

GCF(175,461) x common factors =1 x 1 = 1

LCM(175,461) = ( 175 × 461 ) / 1

LCM(175,461) = 80675 / 1

LCM(175,461) = 80675


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 128/175, 1331/461

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 128/175, 1331/461?

Answer: GCF of Numerators as per given numbers 128/175, 1331/461 is

GCF of Numerators i.e. for 128,1331 is 1

LCM of denominators i.e. for 175,461 is 80675.

Thus, GCF of Fractions is 1/80675.Finally, GCF of Fractions for 128/175, 1331/461 is 1/80675.