Greatest Common Factor of 15/171, 818/730, 321/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/171, 818/730, 321/548

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 15/171,818/730,321/548

Given fractions are 15/171,818/730,321/548

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 15,818,321

Greatest Common Factor of Numerators i.e. GCF of 15,818,321 is 1 .

LCM of Denominators means LCM of 171,730,548 as per the given fractions.

LCM of 171,730,548 is 34203420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,818,321

GCF of Fractions 15/171,818/730,321/548 is 1/34203420

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

Greatest Common Factor of 15,818,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,818,321 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 15,818,321 . The biggest common factor number is the GCF number.
So the greatest common factor 15,818,321 is 1.

Lets's calculate LCM of 171,730,548

2 171, 730, 548
171, 365, 274

∴ So the LCM of the given numbers is 2 x 171 x 365 x 274 = 34203420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34203420

Therefore, the GCF of Fractions 15/171,818/730,321/548 is 1/34203420

Least Common Multiple of 171,730,548 with GCF Formula

Least Common Multiple of 171,730,548 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 171,730,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,730,548) = 1

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

GCF(171,730,548) x common factors =1 x 2 = 2

LCM(171,730,548) = ( 171 × 730 × 548 ) / 2

LCM(171,730,548) = 68406840 / 2

LCM(171,730,548) = 34203420


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 15/171, 818/730, 321/548

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 15/171, 818/730, 321/548?

Answer: GCF of Numerators as per given numbers 15/171, 818/730, 321/548 is

GCF of Numerators i.e. for 15,818,321 is 1

LCM of denominators i.e. for 171,730,548 is 34203420.

Thus, GCF of Fractions is 1/34203420.Finally, GCF of Fractions for 15/171, 818/730, 321/548 is 1/34203420.