Greatest Common Factor of 3337/824, 5257/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3337/824, 5257/343

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 3337/824,5257/343

Given fractions are 3337/824,5257/343

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 3337,5257

Greatest Common Factor of Numerators i.e. GCF of 3337,5257 is 1 .

LCM of Denominators means LCM of 824,343 as per the given fractions.

LCM of 824,343 is 282632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3337,5257

GCF of Fractions 3337/824,5257/343 is 1/282632

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

Greatest Common Factor of 3337,5257 By Matching Biggest Common Factor Method

Greatest Common Factor of 3337,5257 By Matching Biggest Common Factor Method

Factors of 3337

List of positive integer factors of 3337 that divides 3337 without a remainder.

1,47,71,3337

Factors of 5257

List of positive integer factors of 5257 that divides 5257 without a remainder.

1,7,751,5257

Greatest Common Factor

We found the factors 3337,5257 . The biggest common factor number is the GCF number.
So the greatest common factor 3337,5257 is 1.

Lets's calculate LCM of 824,343

Given numbers has no common factors except 1. So, there LCM is their product i.e 282632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282632

Therefore, the GCF of Fractions 3337/824,5257/343 is 1/282632

Least Common Multiple of 824,343 with GCF Formula

Least Common Multiple of 824,343 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 824,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,343) = 1

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

GCF(824,343) x common factors =1 x 1 = 1

LCM(824,343) = ( 824 × 343 ) / 1

LCM(824,343) = 282632 / 1

LCM(824,343) = 282632


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 3337/824, 5257/343

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 3337/824, 5257/343?

Answer: GCF of Numerators as per given numbers 3337/824, 5257/343 is

GCF of Numerators i.e. for 3337,5257 is 1

LCM of denominators i.e. for 824,343 is 282632.

Thus, GCF of Fractions is 1/282632.Finally, GCF of Fractions for 3337/824, 5257/343 is 1/282632.