Greatest Common Factor of 6509/685, 6451/6173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6509/685, 6451/6173

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 6509/685,6451/6173

Given fractions are 6509/685,6451/6173

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 6509,6451

Greatest Common Factor of Numerators i.e. GCF of 6509,6451 is 1 .

LCM of Denominators means LCM of 685,6173 as per the given fractions.

LCM of 685,6173 is 4228505 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6509,6451

GCF of Fractions 6509/685,6451/6173 is 1/4228505

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

Greatest Common Factor of 6509,6451 By Matching Biggest Common Factor Method

Greatest Common Factor of 6509,6451 By Matching Biggest Common Factor Method

Factors of 6509

List of positive integer factors of 6509 that divides 6509 without a remainder.

1,23,283,6509

Factors of 6451

List of positive integer factors of 6451 that divides 6451 without a remainder.

1,6451

Greatest Common Factor

We found the factors 6509,6451 . The biggest common factor number is the GCF number.
So the greatest common factor 6509,6451 is 1.

Lets's calculate LCM of 685,6173

Given numbers has no common factors except 1. So, there LCM is their product i.e 4228505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4228505

Therefore, the GCF of Fractions 6509/685,6451/6173 is 1/4228505

Least Common Multiple of 685,6173 with GCF Formula

Least Common Multiple of 685,6173 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 685,6173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,6173) = 1

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

GCF(685,6173) x common factors =1 x 1 = 1

LCM(685,6173) = ( 685 × 6173 ) / 1

LCM(685,6173) = 4228505 / 1

LCM(685,6173) = 4228505


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 6509/685, 6451/6173

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 6509/685, 6451/6173?

Answer: GCF of Numerators as per given numbers 6509/685, 6451/6173 is

GCF of Numerators i.e. for 6509,6451 is 1

LCM of denominators i.e. for 685,6173 is 4228505.

Thus, GCF of Fractions is 1/4228505.Finally, GCF of Fractions for 6509/685, 6451/6173 is 1/4228505.