Greatest Common Factor of 8449/658, 3965/6803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8449/658, 3965/6803

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 8449/658,3965/6803

Given fractions are 8449/658,3965/6803

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 8449,3965

Greatest Common Factor of Numerators i.e. GCF of 8449,3965 is 1 .

LCM of Denominators means LCM of 658,6803 as per the given fractions.

LCM of 658,6803 is 4476374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8449,3965

GCF of Fractions 8449/658,3965/6803 is 1/4476374

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

Greatest Common Factor of 8449,3965 By Matching Biggest Common Factor Method

Greatest Common Factor of 8449,3965 By Matching Biggest Common Factor Method

Factors of 8449

List of positive integer factors of 8449 that divides 8449 without a remainder.

1,7,17,71,119,497,1207,8449

Factors of 3965

List of positive integer factors of 3965 that divides 3965 without a remainder.

1,5,13,61,65,305,793,3965

Greatest Common Factor

We found the factors 8449,3965 . The biggest common factor number is the GCF number.
So the greatest common factor 8449,3965 is 1.

Lets's calculate LCM of 658,6803

Given numbers has no common factors except 1. So, there LCM is their product i.e 4476374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4476374

Therefore, the GCF of Fractions 8449/658,3965/6803 is 1/4476374

Least Common Multiple of 658,6803 with GCF Formula

Least Common Multiple of 658,6803 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 658,6803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,6803) = 1

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

GCF(658,6803) x common factors =1 x 1 = 1

LCM(658,6803) = ( 658 × 6803 ) / 1

LCM(658,6803) = 4476374 / 1

LCM(658,6803) = 4476374


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 8449/658, 3965/6803

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 8449/658, 3965/6803?

Answer: GCF of Numerators as per given numbers 8449/658, 3965/6803 is

GCF of Numerators i.e. for 8449,3965 is 1

LCM of denominators i.e. for 658,6803 is 4476374.

Thus, GCF of Fractions is 1/4476374.Finally, GCF of Fractions for 8449/658, 3965/6803 is 1/4476374.