Greatest Common Factor of 3314/529, 8099/3042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3314/529, 8099/3042

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 3314/529,8099/3042

Given fractions are 3314/529,8099/3042

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 3314,8099

Greatest Common Factor of Numerators i.e. GCF of 3314,8099 is 1 .

LCM of Denominators means LCM of 529,3042 as per the given fractions.

LCM of 529,3042 is 1609218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3314,8099

GCF of Fractions 3314/529,8099/3042 is 1/1609218

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

Greatest Common Factor of 3314,8099 By Matching Biggest Common Factor Method

Greatest Common Factor of 3314,8099 By Matching Biggest Common Factor Method

Factors of 3314

List of positive integer factors of 3314 that divides 3314 without a remainder.

1,2,1657,3314

Factors of 8099

List of positive integer factors of 8099 that divides 8099 without a remainder.

1,7,13,89,91,623,1157,8099

Greatest Common Factor

We found the factors 3314,8099 . The biggest common factor number is the GCF number.
So the greatest common factor 3314,8099 is 1.

Lets's calculate LCM of 529,3042

Given numbers has no common factors except 1. So, there LCM is their product i.e 1609218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1609218

Therefore, the GCF of Fractions 3314/529,8099/3042 is 1/1609218

Least Common Multiple of 529,3042 with GCF Formula

Least Common Multiple of 529,3042 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 529,3042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,3042) = 1

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

GCF(529,3042) x common factors =1 x 1 = 1

LCM(529,3042) = ( 529 × 3042 ) / 1

LCM(529,3042) = 1609218 / 1

LCM(529,3042) = 1609218


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 3314/529, 8099/3042

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 3314/529, 8099/3042?

Answer: GCF of Numerators as per given numbers 3314/529, 8099/3042 is

GCF of Numerators i.e. for 3314,8099 is 1

LCM of denominators i.e. for 529,3042 is 1609218.

Thus, GCF of Fractions is 1/1609218.Finally, GCF of Fractions for 3314/529, 8099/3042 is 1/1609218.