Greatest Common Factor of 6781/65, 2208/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6781/65, 2208/743

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 6781/65,2208/743

Given fractions are 6781/65,2208/743

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 6781,2208

Greatest Common Factor of Numerators i.e. GCF of 6781,2208 is 1 .

LCM of Denominators means LCM of 65,743 as per the given fractions.

LCM of 65,743 is 48295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6781,2208

GCF of Fractions 6781/65,2208/743 is 1/48295

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

Greatest Common Factor of 6781,2208 By Matching Biggest Common Factor Method

Greatest Common Factor of 6781,2208 By Matching Biggest Common Factor Method

Factors of 6781

List of positive integer factors of 6781 that divides 6781 without a remainder.

1,6781

Factors of 2208

List of positive integer factors of 2208 that divides 2208 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,69,92,96,138,184,276,368,552,736,1104,2208

Greatest Common Factor

We found the factors 6781,2208 . The biggest common factor number is the GCF number.
So the greatest common factor 6781,2208 is 1.

Lets's calculate LCM of 65,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 48295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48295

Therefore, the GCF of Fractions 6781/65,2208/743 is 1/48295

Least Common Multiple of 65,743 with GCF Formula

Least Common Multiple of 65,743 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 65,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,743) = 1

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

GCF(65,743) x common factors =1 x 1 = 1

LCM(65,743) = ( 65 × 743 ) / 1

LCM(65,743) = 48295 / 1

LCM(65,743) = 48295


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 6781/65, 2208/743

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 6781/65, 2208/743?

Answer: GCF of Numerators as per given numbers 6781/65, 2208/743 is

GCF of Numerators i.e. for 6781,2208 is 1

LCM of denominators i.e. for 65,743 is 48295.

Thus, GCF of Fractions is 1/48295.Finally, GCF of Fractions for 6781/65, 2208/743 is 1/48295.