Greatest Common Factor of 456/818, 6432/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 456/818, 6432/806

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 456/818,6432/806

Given fractions are 456/818,6432/806

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 456,6432

Greatest Common Factor of Numerators i.e. GCF of 456,6432 is 24 .

LCM of Denominators means LCM of 818,806 as per the given fractions.

LCM of 818,806 is 329654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 456,6432

GCF of Fractions 456/818,6432/806 is 24/329654

2 456, 6432
2 228, 3216
2 114, 1608
3 57, 804
19, 268

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 456,6432 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,6432 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432

Greatest Common Factor

We found the factors 456,6432 . The biggest common factor number is the GCF number.
So the greatest common factor 456,6432 is 24.

Lets's calculate LCM of 818,806

2 818, 806
409, 403

∴ So the LCM of the given numbers is 2 x 409 x 403 = 329654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/329654

Therefore, the GCF of Fractions 456/818,6432/806 is 24/329654

Least Common Multiple of 818,806 with GCF Formula

Least Common Multiple of 818,806 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 818,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,806) = 2

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

GCF(818,806) x common factors =2 x 1 = 2

LCM(818,806) = ( 818 × 806 ) / 2

LCM(818,806) = 659308 / 2

LCM(818,806) = 329654


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 456/818, 6432/806

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 456/818, 6432/806?

Answer: GCF of Numerators as per given numbers 456/818, 6432/806 is

GCF of Numerators i.e. for 456,6432 is 24

LCM of denominators i.e. for 818,806 is 329654.

Thus, GCF of Fractions is 24/329654.Finally, GCF of Fractions for 456/818, 6432/806 is 24/329654.