Greatest Common Factor of 648/818, 449/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/818, 449/530

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 648/818,449/530

Given fractions are 648/818,449/530

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 648,449

Greatest Common Factor of Numerators i.e. GCF of 648,449 is 1 .

LCM of Denominators means LCM of 818,530 as per the given fractions.

LCM of 818,530 is 216770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,449

GCF of Fractions 648/818,449/530 is 1/216770

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

Greatest Common Factor of 648,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,449 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 648,449 . The biggest common factor number is the GCF number.
So the greatest common factor 648,449 is 1.

Lets's calculate LCM of 818,530

2 818, 530
409, 265

∴ So the LCM of the given numbers is 2 x 409 x 265 = 216770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216770

Therefore, the GCF of Fractions 648/818,449/530 is 1/216770

Least Common Multiple of 818,530 with GCF Formula

Least Common Multiple of 818,530 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 818,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,530) = 2

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

GCF(818,530) x common factors =2 x 1 = 2

LCM(818,530) = ( 818 × 530 ) / 2

LCM(818,530) = 433540 / 2

LCM(818,530) = 216770


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 648/818, 449/530

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 648/818, 449/530?

Answer: GCF of Numerators as per given numbers 648/818, 449/530 is

GCF of Numerators i.e. for 648,449 is 1

LCM of denominators i.e. for 818,530 is 216770.

Thus, GCF of Fractions is 1/216770.Finally, GCF of Fractions for 648/818, 449/530 is 1/216770.