Greatest Common Factor of 219/17, 352/82, 427/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 219/17, 352/82, 427/348

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 219/17,352/82,427/348

Given fractions are 219/17,352/82,427/348

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 219,352,427

Greatest Common Factor of Numerators i.e. GCF of 219,352,427 is 1 .

LCM of Denominators means LCM of 17,82,348 as per the given fractions.

LCM of 17,82,348 is 242556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 219,352,427

GCF of Fractions 219/17,352/82,427/348 is 1/242556

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

Greatest Common Factor of 219,352,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,352,427 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 219,352,427 . The biggest common factor number is the GCF number.
So the greatest common factor 219,352,427 is 1.

Lets's calculate LCM of 17,82,348

2 17, 82, 348
17, 41, 174

∴ So the LCM of the given numbers is 2 x 17 x 41 x 174 = 242556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242556

Therefore, the GCF of Fractions 219/17,352/82,427/348 is 1/242556

Least Common Multiple of 17,82,348 with GCF Formula

Least Common Multiple of 17,82,348 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 17,82,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,82,348) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(17,82,348) x common factors =1 x 2 = 2

LCM(17,82,348) = ( 17 × 82 × 348 ) / 2

LCM(17,82,348) = 485112 / 2

LCM(17,82,348) = 242556


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 219/17, 352/82, 427/348

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 219/17, 352/82, 427/348?

Answer: GCF of Numerators as per given numbers 219/17, 352/82, 427/348 is

GCF of Numerators i.e. for 219,352,427 is 1

LCM of denominators i.e. for 17,82,348 is 242556.

Thus, GCF of Fractions is 1/242556.Finally, GCF of Fractions for 219/17, 352/82, 427/348 is 1/242556.