Greatest Common Factor of 812/340, 110/409, 110/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 812/340, 110/409, 110/458

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 812/340,110/409,110/458

Given fractions are 812/340,110/409,110/458

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 812,110,110

Greatest Common Factor of Numerators i.e. GCF of 812,110,110 is 2 .

LCM of Denominators means LCM of 340,409,458 as per the given fractions.

LCM of 340,409,458 is 31844740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 812,110,110

GCF of Fractions 812/340,110/409,110/458 is 2/31844740

2 812, 110, 110
406, 55, 55

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

Greatest Common Factor of 812,110,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,110,110 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 812,110,110 . The biggest common factor number is the GCF number.
So the greatest common factor 812,110,110 is 2.

Lets's calculate LCM of 340,409,458

2 340, 409, 458
170, 409, 229

∴ So the LCM of the given numbers is 2 x 170 x 409 x 229 = 31844740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31844740

Therefore, the GCF of Fractions 812/340,110/409,110/458 is 2/31844740

Least Common Multiple of 340,409,458 with GCF Formula

Least Common Multiple of 340,409,458 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 340,409,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,409,458) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(340,409,458) x common factors =1 x 2 = 2

LCM(340,409,458) = ( 340 × 409 × 458 ) / 2

LCM(340,409,458) = 63689480 / 2

LCM(340,409,458) = 31844740


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 812/340, 110/409, 110/458

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 812/340, 110/409, 110/458?

Answer: GCF of Numerators as per given numbers 812/340, 110/409, 110/458 is

GCF of Numerators i.e. for 812,110,110 is 2

LCM of denominators i.e. for 340,409,458 is 31844740.

Thus, GCF of Fractions is 2/31844740.Finally, GCF of Fractions for 812/340, 110/409, 110/458 is 2/31844740.