Greatest Common Factor of 4009/68, 3586/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4009/68, 3586/312

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 4009/68,3586/312

Given fractions are 4009/68,3586/312

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 4009,3586

Greatest Common Factor of Numerators i.e. GCF of 4009,3586 is 1 .

LCM of Denominators means LCM of 68,312 as per the given fractions.

LCM of 68,312 is 5304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4009,3586

GCF of Fractions 4009/68,3586/312 is 1/5304

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

Greatest Common Factor of 4009,3586 By Matching Biggest Common Factor Method

Greatest Common Factor of 4009,3586 By Matching Biggest Common Factor Method

Factors of 4009

List of positive integer factors of 4009 that divides 4009 without a remainder.

1,19,211,4009

Factors of 3586

List of positive integer factors of 3586 that divides 3586 without a remainder.

1,2,11,22,163,326,1793,3586

Greatest Common Factor

We found the factors 4009,3586 . The biggest common factor number is the GCF number.
So the greatest common factor 4009,3586 is 1.

Lets's calculate LCM of 68,312

2 68, 312
2 34, 156
17, 78

∴ So the LCM of the given numbers is 2 x 2 x 17 x 78 = 5304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5304

Therefore, the GCF of Fractions 4009/68,3586/312 is 1/5304

Least Common Multiple of 68,312 with GCF Formula

Least Common Multiple of 68,312 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 68,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,312) = 4

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

GCF(68,312) x common factors =4 x 1 = 4

LCM(68,312) = ( 68 × 312 ) / 4

LCM(68,312) = 21216 / 4

LCM(68,312) = 5304


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 4009/68, 3586/312

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 4009/68, 3586/312?

Answer: GCF of Numerators as per given numbers 4009/68, 3586/312 is

GCF of Numerators i.e. for 4009,3586 is 1

LCM of denominators i.e. for 68,312 is 5304.

Thus, GCF of Fractions is 1/5304.Finally, GCF of Fractions for 4009/68, 3586/312 is 1/5304.