Greatest Common Factor of 440/271, 5854/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/271, 5854/105

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 440/271,5854/105

Given fractions are 440/271,5854/105

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 440,5854

Greatest Common Factor of Numerators i.e. GCF of 440,5854 is 2 .

LCM of Denominators means LCM of 271,105 as per the given fractions.

LCM of 271,105 is 28455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,5854

GCF of Fractions 440/271,5854/105 is 2/28455

2 440, 5854
220, 2927

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

Greatest Common Factor of 440,5854 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,5854 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 5854

List of positive integer factors of 5854 that divides 5854 without a remainder.

1,2,2927,5854

Greatest Common Factor

We found the factors 440,5854 . The biggest common factor number is the GCF number.
So the greatest common factor 440,5854 is 2.

Lets's calculate LCM of 271,105

Given numbers has no common factors except 1. So, there LCM is their product i.e 28455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28455

Therefore, the GCF of Fractions 440/271,5854/105 is 2/28455

Least Common Multiple of 271,105 with GCF Formula

Least Common Multiple of 271,105 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 271,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,105) = 1

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

GCF(271,105) x common factors =1 x 1 = 1

LCM(271,105) = ( 271 × 105 ) / 1

LCM(271,105) = 28455 / 1

LCM(271,105) = 28455


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 440/271, 5854/105

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 440/271, 5854/105?

Answer: GCF of Numerators as per given numbers 440/271, 5854/105 is

GCF of Numerators i.e. for 440,5854 is 2

LCM of denominators i.e. for 271,105 is 28455.

Thus, GCF of Fractions is 2/28455.Finally, GCF of Fractions for 440/271, 5854/105 is 2/28455.