Greatest Common Factor of 649/43, 5449/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 649/43, 5449/727

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 649/43,5449/727

Given fractions are 649/43,5449/727

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 649,5449

Greatest Common Factor of Numerators i.e. GCF of 649,5449 is 1 .

LCM of Denominators means LCM of 43,727 as per the given fractions.

LCM of 43,727 is 31261 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 649,5449

GCF of Fractions 649/43,5449/727 is 1/31261

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

Greatest Common Factor of 649,5449 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,5449 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 5449

List of positive integer factors of 5449 that divides 5449 without a remainder.

1,5449

Greatest Common Factor

We found the factors 649,5449 . The biggest common factor number is the GCF number.
So the greatest common factor 649,5449 is 1.

Lets's calculate LCM of 43,727

Given numbers has no common factors except 1. So, there LCM is their product i.e 31261

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31261

Therefore, the GCF of Fractions 649/43,5449/727 is 1/31261

Least Common Multiple of 43,727 with GCF Formula

Least Common Multiple of 43,727 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 43,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,727) = 1

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

GCF(43,727) x common factors =1 x 1 = 1

LCM(43,727) = ( 43 × 727 ) / 1

LCM(43,727) = 31261 / 1

LCM(43,727) = 31261


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 649/43, 5449/727

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 649/43, 5449/727?

Answer: GCF of Numerators as per given numbers 649/43, 5449/727 is

GCF of Numerators i.e. for 649,5449 is 1

LCM of denominators i.e. for 43,727 is 31261.

Thus, GCF of Fractions is 1/31261.Finally, GCF of Fractions for 649/43, 5449/727 is 1/31261.