Greatest Common Factor of 675/39, 463/68, 205/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/39, 463/68, 205/75

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 675/39,463/68,205/75

Given fractions are 675/39,463/68,205/75

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 675,463,205

Greatest Common Factor of Numerators i.e. GCF of 675,463,205 is 1 .

LCM of Denominators means LCM of 39,68,75 as per the given fractions.

LCM of 39,68,75 is 66300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,463,205

GCF of Fractions 675/39,463/68,205/75 is 1/66300

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

Greatest Common Factor of 675,463,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,463,205 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 675,463,205 . The biggest common factor number is the GCF number.
So the greatest common factor 675,463,205 is 1.

Lets's calculate LCM of 39,68,75

3 39, 68, 75
13, 68, 25

∴ So the LCM of the given numbers is 3 x 13 x 68 x 25 = 66300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66300

Therefore, the GCF of Fractions 675/39,463/68,205/75 is 1/66300

Least Common Multiple of 39,68,75 with GCF Formula

Least Common Multiple of 39,68,75 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 39,68,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,68,75) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,68,75) x common factors =1 x 3 = 3

LCM(39,68,75) = ( 39 × 68 × 75 ) / 3

LCM(39,68,75) = 198900 / 3

LCM(39,68,75) = 66300


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 675/39, 463/68, 205/75

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 675/39, 463/68, 205/75?

Answer: GCF of Numerators as per given numbers 675/39, 463/68, 205/75 is

GCF of Numerators i.e. for 675,463,205 is 1

LCM of denominators i.e. for 39,68,75 is 66300.

Thus, GCF of Fractions is 1/66300.Finally, GCF of Fractions for 675/39, 463/68, 205/75 is 1/66300.