Greatest Common Factor of 268/197, 4185/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/197, 4185/906

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 268/197,4185/906

Given fractions are 268/197,4185/906

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 268,4185

Greatest Common Factor of Numerators i.e. GCF of 268,4185 is 1 .

LCM of Denominators means LCM of 197,906 as per the given fractions.

LCM of 197,906 is 178482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,4185

GCF of Fractions 268/197,4185/906 is 1/178482

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

Greatest Common Factor of 268,4185 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,4185 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 4185

List of positive integer factors of 4185 that divides 4185 without a remainder.

1,3,5,9,15,27,31,45,93,135,155,279,465,837,1395,4185

Greatest Common Factor

We found the factors 268,4185 . The biggest common factor number is the GCF number.
So the greatest common factor 268,4185 is 1.

Lets's calculate LCM of 197,906

Given numbers has no common factors except 1. So, there LCM is their product i.e 178482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178482

Therefore, the GCF of Fractions 268/197,4185/906 is 1/178482

Least Common Multiple of 197,906 with GCF Formula

Least Common Multiple of 197,906 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 197,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,906) = 1

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

GCF(197,906) x common factors =1 x 1 = 1

LCM(197,906) = ( 197 × 906 ) / 1

LCM(197,906) = 178482 / 1

LCM(197,906) = 178482


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 268/197, 4185/906

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 268/197, 4185/906?

Answer: GCF of Numerators as per given numbers 268/197, 4185/906 is

GCF of Numerators i.e. for 268,4185 is 1

LCM of denominators i.e. for 197,906 is 178482.

Thus, GCF of Fractions is 1/178482.Finally, GCF of Fractions for 268/197, 4185/906 is 1/178482.