Greatest Common Factor of 6/75, 85/71, 49/405, 171/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/75, 85/71, 49/405, 171/300

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 6/75,85/71,49/405,171/300

Given fractions are 6/75,85/71,49/405,171/300

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 6,85,49,171

Greatest Common Factor of Numerators i.e. GCF of 6,85,49,171 is 1 .

LCM of Denominators means LCM of 75,71,405,300 as per the given fractions.

LCM of 75,71,405,300 is 575100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,85,49,171

GCF of Fractions 6/75,85/71,49/405,171/300 is 1/575100

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

Greatest Common Factor of 6,85,49,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,85,49,171 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 6,85,49,171 . The biggest common factor number is the GCF number.
So the greatest common factor 6,85,49,171 is 1.

Lets's calculate LCM of 75,71,405,300

3 75, 71, 405, 300
5 25, 71, 135, 100
5 5, 71, 27, 20
1, 71, 27, 4

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 71 x 27 x 4 = 575100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/575100

Therefore, the GCF of Fractions 6/75,85/71,49/405,171/300 is 1/575100

Least Common Multiple of 75,71,405,300 with GCF Formula

Least Common Multiple of 75,71,405,300 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 75,71,405,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,71,405,300) = 1

common factors(in case of two or more numbers have common factors) = 1125

GCF(75,71,405,300) x common factors =1 x 1125 = 1125

LCM(75,71,405,300) = ( 75 × 71 × 405 × 300 ) / 1125

LCM(75,71,405,300) = 646987500 / 1125

LCM(75,71,405,300) = 575100


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 6/75, 85/71, 49/405, 171/300

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 6/75, 85/71, 49/405, 171/300?

Answer: GCF of Numerators as per given numbers 6/75, 85/71, 49/405, 171/300 is

GCF of Numerators i.e. for 6,85,49,171 is 1

LCM of denominators i.e. for 75,71,405,300 is 575100.

Thus, GCF of Fractions is 1/575100.Finally, GCF of Fractions for 6/75, 85/71, 49/405, 171/300 is 1/575100.