Greatest Common Factor of 8405/686, 5649/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8405/686, 5649/510

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 8405/686,5649/510

Given fractions are 8405/686,5649/510

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 8405,5649

Greatest Common Factor of Numerators i.e. GCF of 8405,5649 is 1 .

LCM of Denominators means LCM of 686,510 as per the given fractions.

LCM of 686,510 is 174930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8405,5649

GCF of Fractions 8405/686,5649/510 is 1/174930

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

Greatest Common Factor of 8405,5649 By Matching Biggest Common Factor Method

Greatest Common Factor of 8405,5649 By Matching Biggest Common Factor Method

Factors of 8405

List of positive integer factors of 8405 that divides 8405 without a remainder.

1,5,41,205,1681,8405

Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1,3,7,21,269,807,1883,5649

Greatest Common Factor

We found the factors 8405,5649 . The biggest common factor number is the GCF number.
So the greatest common factor 8405,5649 is 1.

Lets's calculate LCM of 686,510

2 686, 510
343, 255

∴ So the LCM of the given numbers is 2 x 343 x 255 = 174930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174930

Therefore, the GCF of Fractions 8405/686,5649/510 is 1/174930

Least Common Multiple of 686,510 with GCF Formula

Least Common Multiple of 686,510 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 686,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,510) = 2

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

GCF(686,510) x common factors =2 x 1 = 2

LCM(686,510) = ( 686 × 510 ) / 2

LCM(686,510) = 349860 / 2

LCM(686,510) = 174930


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 8405/686, 5649/510

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 8405/686, 5649/510?

Answer: GCF of Numerators as per given numbers 8405/686, 5649/510 is

GCF of Numerators i.e. for 8405,5649 is 1

LCM of denominators i.e. for 686,510 is 174930.

Thus, GCF of Fractions is 1/174930.Finally, GCF of Fractions for 8405/686, 5649/510 is 1/174930.