Greatest Common Factor of 16/59, 42/28, 658/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/59, 42/28, 658/586

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 16/59,42/28,658/586

Given fractions are 16/59,42/28,658/586

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 16,42,658

Greatest Common Factor of Numerators i.e. GCF of 16,42,658 is 2 .

LCM of Denominators means LCM of 59,28,586 as per the given fractions.

LCM of 59,28,586 is 484036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,42,658

GCF of Fractions 16/59,42/28,658/586 is 2/484036

2 16, 42, 658
8, 21, 329

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 16,42,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,42,658 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 16,42,658 . The biggest common factor number is the GCF number.
So the greatest common factor 16,42,658 is 2.

Lets's calculate LCM of 59,28,586

2 59, 28, 586
59, 14, 293

∴ So the LCM of the given numbers is 2 x 59 x 14 x 293 = 484036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/484036

Therefore, the GCF of Fractions 16/59,42/28,658/586 is 2/484036

Least Common Multiple of 59,28,586 with GCF Formula

Least Common Multiple of 59,28,586 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 59,28,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,28,586) = 1

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

GCF(59,28,586) x common factors =1 x 2 = 2

LCM(59,28,586) = ( 59 × 28 × 586 ) / 2

LCM(59,28,586) = 968072 / 2

LCM(59,28,586) = 484036


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 16/59, 42/28, 658/586

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 16/59, 42/28, 658/586?

Answer: GCF of Numerators as per given numbers 16/59, 42/28, 658/586 is

GCF of Numerators i.e. for 16,42,658 is 2

LCM of denominators i.e. for 59,28,586 is 484036.

Thus, GCF of Fractions is 2/484036.Finally, GCF of Fractions for 16/59, 42/28, 658/586 is 2/484036.