Greatest Common Factor of 1563/149, 6483/3342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1563/149, 6483/3342

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 1563/149,6483/3342

Given fractions are 1563/149,6483/3342

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 1563,6483

Greatest Common Factor of Numerators i.e. GCF of 1563,6483 is 3 .

LCM of Denominators means LCM of 149,3342 as per the given fractions.

LCM of 149,3342 is 497958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1563,6483

GCF of Fractions 1563/149,6483/3342 is 3/497958

3 1563, 6483
521, 2161

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1563,6483 By Matching Biggest Common Factor Method

Greatest Common Factor of 1563,6483 By Matching Biggest Common Factor Method

Factors of 1563

List of positive integer factors of 1563 that divides 1563 without a remainder.

1,3,521,1563

Factors of 6483

List of positive integer factors of 6483 that divides 6483 without a remainder.

1,3,2161,6483

Greatest Common Factor

We found the factors 1563,6483 . The biggest common factor number is the GCF number.
So the greatest common factor 1563,6483 is 3.

Lets's calculate LCM of 149,3342

Given numbers has no common factors except 1. So, there LCM is their product i.e 497958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/497958

Therefore, the GCF of Fractions 1563/149,6483/3342 is 3/497958

Least Common Multiple of 149,3342 with GCF Formula

Least Common Multiple of 149,3342 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 149,3342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,3342) = 1

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

GCF(149,3342) x common factors =1 x 1 = 1

LCM(149,3342) = ( 149 × 3342 ) / 1

LCM(149,3342) = 497958 / 1

LCM(149,3342) = 497958


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 1563/149, 6483/3342

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 1563/149, 6483/3342?

Answer: GCF of Numerators as per given numbers 1563/149, 6483/3342 is

GCF of Numerators i.e. for 1563,6483 is 3

LCM of denominators i.e. for 149,3342 is 497958.

Thus, GCF of Fractions is 3/497958.Finally, GCF of Fractions for 1563/149, 6483/3342 is 3/497958.