Greatest Common Factor of 4049/202, 1737/6747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4049/202, 1737/6747

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 4049/202,1737/6747

Given fractions are 4049/202,1737/6747

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 4049,1737

Greatest Common Factor of Numerators i.e. GCF of 4049,1737 is 1 .

LCM of Denominators means LCM of 202,6747 as per the given fractions.

LCM of 202,6747 is 1362894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4049,1737

GCF of Fractions 4049/202,1737/6747 is 1/1362894

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

Greatest Common Factor of 4049,1737 By Matching Biggest Common Factor Method

Greatest Common Factor of 4049,1737 By Matching Biggest Common Factor Method

Factors of 4049

List of positive integer factors of 4049 that divides 4049 without a remainder.

1,4049

Factors of 1737

List of positive integer factors of 1737 that divides 1737 without a remainder.

1,3,9,193,579,1737

Greatest Common Factor

We found the factors 4049,1737 . The biggest common factor number is the GCF number.
So the greatest common factor 4049,1737 is 1.


Lets's calculate LCM of 202,6747

Given numbers has no common factors except 1. So, there LCM is their product i.e 1362894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1362894

Therefore, the GCF of Fractions 4049/202,1737/6747 is 1/1362894

Least Common Multiple of 202,6747 with GCF Formula

Least Common Multiple of 202,6747 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 202,6747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,6747) = 1

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

GCF(202,6747) x common factors =1 x 1 = 1

LCM(202,6747) = ( 202 × 6747 ) / 1

LCM(202,6747) = 1362894 / 1

LCM(202,6747) = 1362894


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4049/202, 1737/6747

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 4049/202, 1737/6747?

Answer: GCF of Numerators as per given numbers 4049/202, 1737/6747 is

GCF of Numerators i.e. for 4049,1737 is 1

LCM of denominators i.e. for 202,6747 is 1362894.

Thus, GCF of Fractions is 1/1362894.Finally, GCF of Fractions for 4049/202, 1737/6747 is 1/1362894.