Greatest Common Factor of 3486/86, 3290/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3486/86, 3290/893

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 3486/86,3290/893

Given fractions are 3486/86,3290/893

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 3486,3290

Greatest Common Factor of Numerators i.e. GCF of 3486,3290 is 14 .

LCM of Denominators means LCM of 86,893 as per the given fractions.

LCM of 86,893 is 76798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3486,3290

GCF of Fractions 3486/86,3290/893 is 14/76798

2 3486, 3290
7 1743, 1645
249, 235

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 3486,3290 By Matching Biggest Common Factor Method

Greatest Common Factor of 3486,3290 By Matching Biggest Common Factor Method

Factors of 3486

List of positive integer factors of 3486 that divides 3486 without a remainder.

1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486

Factors of 3290

List of positive integer factors of 3290 that divides 3290 without a remainder.

1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290

Greatest Common Factor

We found the factors 3486,3290 . The biggest common factor number is the GCF number.
So the greatest common factor 3486,3290 is 14.

Lets's calculate LCM of 86,893

Given numbers has no common factors except 1. So, there LCM is their product i.e 76798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/76798

Therefore, the GCF of Fractions 3486/86,3290/893 is 14/76798

Least Common Multiple of 86,893 with GCF Formula

Least Common Multiple of 86,893 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 86,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,893) = 1

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

GCF(86,893) x common factors =1 x 1 = 1

LCM(86,893) = ( 86 × 893 ) / 1

LCM(86,893) = 76798 / 1

LCM(86,893) = 76798


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 3486/86, 3290/893

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 3486/86, 3290/893?

Answer: GCF of Numerators as per given numbers 3486/86, 3290/893 is

GCF of Numerators i.e. for 3486,3290 is 14

LCM of denominators i.e. for 86,893 is 76798.

Thus, GCF of Fractions is 14/76798.Finally, GCF of Fractions for 3486/86, 3290/893 is 14/76798.