Greatest Common Factor of 396/15, 415/83, 269/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/15, 415/83, 269/74

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 396/15,415/83,269/74

Given fractions are 396/15,415/83,269/74

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 396,415,269

Greatest Common Factor of Numerators i.e. GCF of 396,415,269 is 1 .

LCM of Denominators means LCM of 15,83,74 as per the given fractions.

LCM of 15,83,74 is 92130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,415,269

GCF of Fractions 396/15,415/83,269/74 is 1/92130

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

Greatest Common Factor of 396,415,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,415,269 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 269

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

1,269

Greatest Common Factor

We found the factors 396,415,269 . The biggest common factor number is the GCF number.
So the greatest common factor 396,415,269 is 1.

Lets's calculate LCM of 15,83,74

Given numbers has no common factors except 1. So, there LCM is their product i.e 92130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92130

Therefore, the GCF of Fractions 396/15,415/83,269/74 is 1/92130

Least Common Multiple of 15,83,74 with GCF Formula

Least Common Multiple of 15,83,74 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 15,83,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,83,74) = 1

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

GCF(15,83,74) x common factors =1 x 1 = 1

LCM(15,83,74) = ( 15 × 83 × 74 ) / 1

LCM(15,83,74) = 92130 / 1

LCM(15,83,74) = 92130


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 396/15, 415/83, 269/74

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 396/15, 415/83, 269/74?

Answer: GCF of Numerators as per given numbers 396/15, 415/83, 269/74 is

GCF of Numerators i.e. for 396,415,269 is 1

LCM of denominators i.e. for 15,83,74 is 92130.

Thus, GCF of Fractions is 1/92130.Finally, GCF of Fractions for 396/15, 415/83, 269/74 is 1/92130.