Greatest Common Factor of 268/353, 407/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/353, 407/775

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 268/353,407/775

Given fractions are 268/353,407/775

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 268,407

Greatest Common Factor of Numerators i.e. GCF of 268,407 is 1 .

LCM of Denominators means LCM of 353,775 as per the given fractions.

LCM of 353,775 is 273575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,407

GCF of Fractions 268/353,407/775 is 1/273575

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

Greatest Common Factor of 268,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,407 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 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 268,407 . The biggest common factor number is the GCF number.
So the greatest common factor 268,407 is 1.

Lets's calculate LCM of 353,775

Given numbers has no common factors except 1. So, there LCM is their product i.e 273575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273575

Therefore, the GCF of Fractions 268/353,407/775 is 1/273575

Least Common Multiple of 353,775 with GCF Formula

Least Common Multiple of 353,775 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 353,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,775) = 1

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

GCF(353,775) x common factors =1 x 1 = 1

LCM(353,775) = ( 353 × 775 ) / 1

LCM(353,775) = 273575 / 1

LCM(353,775) = 273575


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 268/353, 407/775

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 268/353, 407/775?

Answer: GCF of Numerators as per given numbers 268/353, 407/775 is

GCF of Numerators i.e. for 268,407 is 1

LCM of denominators i.e. for 353,775 is 273575.

Thus, GCF of Fractions is 1/273575.Finally, GCF of Fractions for 268/353, 407/775 is 1/273575.