Greatest Common Factor of 6800/576, 3721/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6800/576, 3721/698

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 6800/576,3721/698

Given fractions are 6800/576,3721/698

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 6800,3721

Greatest Common Factor of Numerators i.e. GCF of 6800,3721 is 1 .

LCM of Denominators means LCM of 576,698 as per the given fractions.

LCM of 576,698 is 201024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6800,3721

GCF of Fractions 6800/576,3721/698 is 1/201024

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

Greatest Common Factor of 6800,3721 By Matching Biggest Common Factor Method

Greatest Common Factor of 6800,3721 By Matching Biggest Common Factor Method

Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Factors of 3721

List of positive integer factors of 3721 that divides 3721 without a remainder.

1,61,3721

Greatest Common Factor

We found the factors 6800,3721 . The biggest common factor number is the GCF number.
So the greatest common factor 6800,3721 is 1.

Lets's calculate LCM of 576,698

2 576, 698
288, 349

∴ So the LCM of the given numbers is 2 x 288 x 349 = 201024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201024

Therefore, the GCF of Fractions 6800/576,3721/698 is 1/201024

Least Common Multiple of 576,698 with GCF Formula

Least Common Multiple of 576,698 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 576,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,698) = 2

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

GCF(576,698) x common factors =2 x 1 = 2

LCM(576,698) = ( 576 × 698 ) / 2

LCM(576,698) = 402048 / 2

LCM(576,698) = 201024


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 6800/576, 3721/698

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 6800/576, 3721/698?

Answer: GCF of Numerators as per given numbers 6800/576, 3721/698 is

GCF of Numerators i.e. for 6800,3721 is 1

LCM of denominators i.e. for 576,698 is 201024.

Thus, GCF of Fractions is 1/201024.Finally, GCF of Fractions for 6800/576, 3721/698 is 1/201024.