Greatest Common Factor of 16/330, 863/385, 614/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/330, 863/385, 614/574

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 16/330,863/385,614/574

Given fractions are 16/330,863/385,614/574

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 16,863,614

Greatest Common Factor of Numerators i.e. GCF of 16,863,614 is 1 .

LCM of Denominators means LCM of 330,385,574 as per the given fractions.

LCM of 330,385,574 is 94710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,863,614

GCF of Fractions 16/330,863/385,614/574 is 1/94710

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

Greatest Common Factor of 16,863,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,863,614 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 16,863,614 . The biggest common factor number is the GCF number.
So the greatest common factor 16,863,614 is 1.

Lets's calculate LCM of 330,385,574

2 330, 385, 574
5 165, 385, 287
7 33, 77, 287
11 33, 11, 41
3, 1, 41

∴ So the LCM of the given numbers is 2 x 5 x 7 x 11 x 3 x 1 x 41 = 94710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94710

Therefore, the GCF of Fractions 16/330,863/385,614/574 is 1/94710

Least Common Multiple of 330,385,574 with GCF Formula

Least Common Multiple of 330,385,574 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 330,385,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,385,574) = 1

common factors(in case of two or more numbers have common factors) = 770

GCF(330,385,574) x common factors =1 x 770 = 770

LCM(330,385,574) = ( 330 × 385 × 574 ) / 770

LCM(330,385,574) = 72926700 / 770

LCM(330,385,574) = 94710


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 16/330, 863/385, 614/574

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 16/330, 863/385, 614/574?

Answer: GCF of Numerators as per given numbers 16/330, 863/385, 614/574 is

GCF of Numerators i.e. for 16,863,614 is 1

LCM of denominators i.e. for 330,385,574 is 94710.

Thus, GCF of Fractions is 1/94710.Finally, GCF of Fractions for 16/330, 863/385, 614/574 is 1/94710.