Greatest Common Factor of 18/59, 58/16, 688/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/59, 58/16, 688/506

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 18/59,58/16,688/506

Given fractions are 18/59,58/16,688/506

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 18,58,688

Greatest Common Factor of Numerators i.e. GCF of 18,58,688 is 2 .

LCM of Denominators means LCM of 59,16,506 as per the given fractions.

LCM of 59,16,506 is 238832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,58,688

GCF of Fractions 18/59,58/16,688/506 is 2/238832

2 18, 58, 688
9, 29, 344

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

Greatest Common Factor of 18,58,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,58,688 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 18,58,688 . The biggest common factor number is the GCF number.
So the greatest common factor 18,58,688 is 2.

Lets's calculate LCM of 59,16,506

2 59, 16, 506
59, 8, 253

∴ So the LCM of the given numbers is 2 x 59 x 8 x 253 = 238832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/238832

Therefore, the GCF of Fractions 18/59,58/16,688/506 is 2/238832

Least Common Multiple of 59,16,506 with GCF Formula

Least Common Multiple of 59,16,506 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 59,16,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,16,506) = 1

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

GCF(59,16,506) x common factors =1 x 2 = 2

LCM(59,16,506) = ( 59 × 16 × 506 ) / 2

LCM(59,16,506) = 477664 / 2

LCM(59,16,506) = 238832


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 18/59, 58/16, 688/506

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 18/59, 58/16, 688/506?

Answer: GCF of Numerators as per given numbers 18/59, 58/16, 688/506 is

GCF of Numerators i.e. for 18,58,688 is 2

LCM of denominators i.e. for 59,16,506 is 238832.

Thus, GCF of Fractions is 2/238832.Finally, GCF of Fractions for 18/59, 58/16, 688/506 is 2/238832.