Greatest Common Factor of 2277/649, 6849/3497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2277/649, 6849/3497

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 2277/649,6849/3497

Given fractions are 2277/649,6849/3497

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 2277,6849

Greatest Common Factor of Numerators i.e. GCF of 2277,6849 is 9 .

LCM of Denominators means LCM of 649,3497 as per the given fractions.

LCM of 649,3497 is 2269553 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2277,6849

GCF of Fractions 2277/649,6849/3497 is 9/2269553

3 2277, 6849
3 759, 2283
253, 761

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 2277,6849 By Matching Biggest Common Factor Method

Greatest Common Factor of 2277,6849 By Matching Biggest Common Factor Method

Factors of 2277

List of positive integer factors of 2277 that divides 2277 without a remainder.

1,3,9,11,23,33,69,99,207,253,759,2277

Factors of 6849

List of positive integer factors of 6849 that divides 6849 without a remainder.

1,3,9,761,2283,6849

Greatest Common Factor

We found the factors 2277,6849 . The biggest common factor number is the GCF number.
So the greatest common factor 2277,6849 is 9.

Lets's calculate LCM of 649,3497

Given numbers has no common factors except 1. So, there LCM is their product i.e 2269553

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2269553

Therefore, the GCF of Fractions 2277/649,6849/3497 is 9/2269553

Least Common Multiple of 649,3497 with GCF Formula

Least Common Multiple of 649,3497 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 649,3497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,3497) = 1

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

GCF(649,3497) x common factors =1 x 1 = 1

LCM(649,3497) = ( 649 × 3497 ) / 1

LCM(649,3497) = 2269553 / 1

LCM(649,3497) = 2269553


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 2277/649, 6849/3497

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 2277/649, 6849/3497?

Answer: GCF of Numerators as per given numbers 2277/649, 6849/3497 is

GCF of Numerators i.e. for 2277,6849 is 9

LCM of denominators i.e. for 649,3497 is 2269553.

Thus, GCF of Fractions is 9/2269553.Finally, GCF of Fractions for 2277/649, 6849/3497 is 9/2269553.