Greatest Common Factor of 69/496, 6486/1458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/496, 6486/1458

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 69/496,6486/1458

Given fractions are 69/496,6486/1458

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 69,6486

Greatest Common Factor of Numerators i.e. GCF of 69,6486 is 69 .

LCM of Denominators means LCM of 496,1458 as per the given fractions.

LCM of 496,1458 is 361584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,6486

GCF of Fractions 69/496,6486/1458 is 69/361584

3 69, 6486
23 23, 2162
1, 94

∴ So the GCF of the given numbers is 3 x 23 = 69

Greatest Common Factor of 69,6486 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,6486 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 6486

List of positive integer factors of 6486 that divides 6486 without a remainder.

1,2,3,6,23,46,47,69,94,138,141,282,1081,2162,3243,6486

Greatest Common Factor

We found the factors 69,6486 . The biggest common factor number is the GCF number.
So the greatest common factor 69,6486 is 69.

Lets's calculate LCM of 496,1458

2 496, 1458
248, 729

∴ So the LCM of the given numbers is 2 x 248 x 729 = 361584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/361584

Therefore, the GCF of Fractions 69/496,6486/1458 is 69/361584

Least Common Multiple of 496,1458 with GCF Formula

Least Common Multiple of 496,1458 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 496,1458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,1458) = 2

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

GCF(496,1458) x common factors =2 x 1 = 2

LCM(496,1458) = ( 496 × 1458 ) / 2

LCM(496,1458) = 723168 / 2

LCM(496,1458) = 361584


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 69/496, 6486/1458

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 69/496, 6486/1458?

Answer: GCF of Numerators as per given numbers 69/496, 6486/1458 is

GCF of Numerators i.e. for 69,6486 is 69

LCM of denominators i.e. for 496,1458 is 361584.

Thus, GCF of Fractions is 69/361584.Finally, GCF of Fractions for 69/496, 6486/1458 is 69/361584.