Greatest Common Factor of 1888/273, 6817/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1888/273, 6817/440

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 1888/273,6817/440

Given fractions are 1888/273,6817/440

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 1888,6817

Greatest Common Factor of Numerators i.e. GCF of 1888,6817 is 1 .

LCM of Denominators means LCM of 273,440 as per the given fractions.

LCM of 273,440 is 120120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1888,6817

GCF of Fractions 1888/273,6817/440 is 1/120120

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

Greatest Common Factor of 1888,6817 By Matching Biggest Common Factor Method

Greatest Common Factor of 1888,6817 By Matching Biggest Common Factor Method

Factors of 1888

List of positive integer factors of 1888 that divides 1888 without a remainder.

1,2,4,8,16,32,59,118,236,472,944,1888

Factors of 6817

List of positive integer factors of 6817 that divides 6817 without a remainder.

1,17,401,6817

Greatest Common Factor

We found the factors 1888,6817 . The biggest common factor number is the GCF number.
So the greatest common factor 1888,6817 is 1.

Lets's calculate LCM of 273,440

Given numbers has no common factors except 1. So, there LCM is their product i.e 120120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120120

Therefore, the GCF of Fractions 1888/273,6817/440 is 1/120120

Least Common Multiple of 273,440 with GCF Formula

Least Common Multiple of 273,440 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 273,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,440) = 1

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

GCF(273,440) x common factors =1 x 1 = 1

LCM(273,440) = ( 273 × 440 ) / 1

LCM(273,440) = 120120 / 1

LCM(273,440) = 120120


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 1888/273, 6817/440

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 1888/273, 6817/440?

Answer: GCF of Numerators as per given numbers 1888/273, 6817/440 is

GCF of Numerators i.e. for 1888,6817 is 1

LCM of denominators i.e. for 273,440 is 120120.

Thus, GCF of Fractions is 1/120120.Finally, GCF of Fractions for 1888/273, 6817/440 is 1/120120.