Greatest Common Factor of 1647/33, 4298/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1647/33, 4298/253

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 1647/33,4298/253

Given fractions are 1647/33,4298/253

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 1647,4298

Greatest Common Factor of Numerators i.e. GCF of 1647,4298 is 1 .

LCM of Denominators means LCM of 33,253 as per the given fractions.

LCM of 33,253 is 759 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1647,4298

GCF of Fractions 1647/33,4298/253 is 1/759

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

Greatest Common Factor of 1647,4298 By Matching Biggest Common Factor Method

Greatest Common Factor of 1647,4298 By Matching Biggest Common Factor Method

Factors of 1647

List of positive integer factors of 1647 that divides 1647 without a remainder.

1,3,9,27,61,183,549,1647

Factors of 4298

List of positive integer factors of 4298 that divides 4298 without a remainder.

1,2,7,14,307,614,2149,4298

Greatest Common Factor

We found the factors 1647,4298 . The biggest common factor number is the GCF number.
So the greatest common factor 1647,4298 is 1.

Lets's calculate LCM of 33,253

11 33, 253
3, 23

∴ So the LCM of the given numbers is 11 x 3 x 23 = 759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/759

Therefore, the GCF of Fractions 1647/33,4298/253 is 1/759

Least Common Multiple of 33,253 with GCF Formula

Least Common Multiple of 33,253 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 33,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,253) = 11

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

GCF(33,253) x common factors =11 x 1 = 11

LCM(33,253) = ( 33 × 253 ) / 11

LCM(33,253) = 8349 / 11

LCM(33,253) = 759


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 1647/33, 4298/253

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 1647/33, 4298/253?

Answer: GCF of Numerators as per given numbers 1647/33, 4298/253 is

GCF of Numerators i.e. for 1647,4298 is 1

LCM of denominators i.e. for 33,253 is 759.

Thus, GCF of Fractions is 1/759.Finally, GCF of Fractions for 1647/33, 4298/253 is 1/759.