Greatest Common Factor of 3394/854, 5529/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3394/854, 5529/249

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 3394/854,5529/249

Given fractions are 3394/854,5529/249

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 3394,5529

Greatest Common Factor of Numerators i.e. GCF of 3394,5529 is 1 .

LCM of Denominators means LCM of 854,249 as per the given fractions.

LCM of 854,249 is 212646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3394,5529

GCF of Fractions 3394/854,5529/249 is 1/212646

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

Greatest Common Factor of 3394,5529 By Matching Biggest Common Factor Method

Greatest Common Factor of 3394,5529 By Matching Biggest Common Factor Method

Factors of 3394

List of positive integer factors of 3394 that divides 3394 without a remainder.

1,2,1697,3394

Factors of 5529

List of positive integer factors of 5529 that divides 5529 without a remainder.

1,3,19,57,97,291,1843,5529

Greatest Common Factor

We found the factors 3394,5529 . The biggest common factor number is the GCF number.
So the greatest common factor 3394,5529 is 1.

Lets's calculate LCM of 854,249

Given numbers has no common factors except 1. So, there LCM is their product i.e 212646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212646

Therefore, the GCF of Fractions 3394/854,5529/249 is 1/212646

Least Common Multiple of 854,249 with GCF Formula

Least Common Multiple of 854,249 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 854,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,249) = 1

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

GCF(854,249) x common factors =1 x 1 = 1

LCM(854,249) = ( 854 × 249 ) / 1

LCM(854,249) = 212646 / 1

LCM(854,249) = 212646


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 3394/854, 5529/249

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 3394/854, 5529/249?

Answer: GCF of Numerators as per given numbers 3394/854, 5529/249 is

GCF of Numerators i.e. for 3394,5529 is 1

LCM of denominators i.e. for 854,249 is 212646.

Thus, GCF of Fractions is 1/212646.Finally, GCF of Fractions for 3394/854, 5529/249 is 1/212646.