Greatest Common Factor of 269/43, 692/5367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 269/43, 692/5367

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 269/43,692/5367

Given fractions are 269/43,692/5367

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 269,692

Greatest Common Factor of Numerators i.e. GCF of 269,692 is 1 .

LCM of Denominators means LCM of 43,5367 as per the given fractions.

LCM of 43,5367 is 230781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 269,692

GCF of Fractions 269/43,692/5367 is 1/230781

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

Greatest Common Factor of 269,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,692 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 269,692 . The biggest common factor number is the GCF number.
So the greatest common factor 269,692 is 1.

Lets's calculate LCM of 43,5367

Given numbers has no common factors except 1. So, there LCM is their product i.e 230781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230781

Therefore, the GCF of Fractions 269/43,692/5367 is 1/230781

Least Common Multiple of 43,5367 with GCF Formula

Least Common Multiple of 43,5367 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 43,5367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,5367) = 1

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

GCF(43,5367) x common factors =1 x 1 = 1

LCM(43,5367) = ( 43 × 5367 ) / 1

LCM(43,5367) = 230781 / 1

LCM(43,5367) = 230781


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 269/43, 692/5367

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 269/43, 692/5367?

Answer: GCF of Numerators as per given numbers 269/43, 692/5367 is

GCF of Numerators i.e. for 269,692 is 1

LCM of denominators i.e. for 43,5367 is 230781.

Thus, GCF of Fractions is 1/230781.Finally, GCF of Fractions for 269/43, 692/5367 is 1/230781.