Greatest Common Factor of 106/81, 348/53, 440/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 106/81, 348/53, 440/456

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 106/81,348/53,440/456

Given fractions are 106/81,348/53,440/456

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 106,348,440

Greatest Common Factor of Numerators i.e. GCF of 106,348,440 is 2 .

LCM of Denominators means LCM of 81,53,456 as per the given fractions.

LCM of 81,53,456 is 652536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 106,348,440

GCF of Fractions 106/81,348/53,440/456 is 2/652536

2 106, 348, 440
53, 174, 220

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

Greatest Common Factor of 106,348,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,348,440 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

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

Greatest Common Factor

We found the factors 106,348,440 . The biggest common factor number is the GCF number.
So the greatest common factor 106,348,440 is 2.

Lets's calculate LCM of 81,53,456

3 81, 53, 456
27, 53, 152

∴ So the LCM of the given numbers is 3 x 27 x 53 x 152 = 652536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/652536

Therefore, the GCF of Fractions 106/81,348/53,440/456 is 2/652536

Least Common Multiple of 81,53,456 with GCF Formula

Least Common Multiple of 81,53,456 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 81,53,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,53,456) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,53,456) x common factors =1 x 3 = 3

LCM(81,53,456) = ( 81 × 53 × 456 ) / 3

LCM(81,53,456) = 1957608 / 3

LCM(81,53,456) = 652536


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 106/81, 348/53, 440/456

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 106/81, 348/53, 440/456?

Answer: GCF of Numerators as per given numbers 106/81, 348/53, 440/456 is

GCF of Numerators i.e. for 106,348,440 is 2

LCM of denominators i.e. for 81,53,456 is 652536.

Thus, GCF of Fractions is 2/652536.Finally, GCF of Fractions for 106/81, 348/53, 440/456 is 2/652536.