Greatest Common Factor of 1649/33, 6290/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1649/33, 6290/483

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 1649/33,6290/483

Given fractions are 1649/33,6290/483

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 1649,6290

Greatest Common Factor of Numerators i.e. GCF of 1649,6290 is 17 .

LCM of Denominators means LCM of 33,483 as per the given fractions.

LCM of 33,483 is 5313 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1649,6290

GCF of Fractions 1649/33,6290/483 is 17/5313

17 1649, 6290
97, 370

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 1649,6290 By Matching Biggest Common Factor Method

Greatest Common Factor of 1649,6290 By Matching Biggest Common Factor Method

Factors of 1649

List of positive integer factors of 1649 that divides 1649 without a remainder.

1,17,97,1649

Factors of 6290

List of positive integer factors of 6290 that divides 6290 without a remainder.

1,2,5,10,17,34,37,74,85,170,185,370,629,1258,3145,6290

Greatest Common Factor

We found the factors 1649,6290 . The biggest common factor number is the GCF number.
So the greatest common factor 1649,6290 is 17.

Lets's calculate LCM of 33,483

3 33, 483
11, 161

∴ So the LCM of the given numbers is 3 x 11 x 161 = 5313

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/5313

Therefore, the GCF of Fractions 1649/33,6290/483 is 17/5313

Least Common Multiple of 33,483 with GCF Formula

Least Common Multiple of 33,483 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 33,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,483) = 3

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

GCF(33,483) x common factors =3 x 1 = 3

LCM(33,483) = ( 33 × 483 ) / 3

LCM(33,483) = 15939 / 3

LCM(33,483) = 5313


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 1649/33, 6290/483

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 1649/33, 6290/483?

Answer: GCF of Numerators as per given numbers 1649/33, 6290/483 is

GCF of Numerators i.e. for 1649,6290 is 17

LCM of denominators i.e. for 33,483 is 5313.

Thus, GCF of Fractions is 17/5313.Finally, GCF of Fractions for 1649/33, 6290/483 is 17/5313.