Greatest Common Factor of 6854/330, 5527/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6854/330, 5527/417

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 6854/330,5527/417

Given fractions are 6854/330,5527/417

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 6854,5527

Greatest Common Factor of Numerators i.e. GCF of 6854,5527 is 1 .

LCM of Denominators means LCM of 330,417 as per the given fractions.

LCM of 330,417 is 45870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6854,5527

GCF of Fractions 6854/330,5527/417 is 1/45870

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

Greatest Common Factor of 6854,5527 By Matching Biggest Common Factor Method

Greatest Common Factor of 6854,5527 By Matching Biggest Common Factor Method

Factors of 6854

List of positive integer factors of 6854 that divides 6854 without a remainder.

1,2,23,46,149,298,3427,6854

Factors of 5527

List of positive integer factors of 5527 that divides 5527 without a remainder.

1,5527

Greatest Common Factor

We found the factors 6854,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 6854,5527 is 1.

Lets's calculate LCM of 330,417

3 330, 417
110, 139

∴ So the LCM of the given numbers is 3 x 110 x 139 = 45870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45870

Therefore, the GCF of Fractions 6854/330,5527/417 is 1/45870

Least Common Multiple of 330,417 with GCF Formula

Least Common Multiple of 330,417 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 330,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,417) = 3

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

GCF(330,417) x common factors =3 x 1 = 3

LCM(330,417) = ( 330 × 417 ) / 3

LCM(330,417) = 137610 / 3

LCM(330,417) = 45870


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 6854/330, 5527/417

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 6854/330, 5527/417?

Answer: GCF of Numerators as per given numbers 6854/330, 5527/417 is

GCF of Numerators i.e. for 6854,5527 is 1

LCM of denominators i.e. for 330,417 is 45870.

Thus, GCF of Fractions is 1/45870.Finally, GCF of Fractions for 6854/330, 5527/417 is 1/45870.