Greatest Common Factor of 243/106, 429/743, 688/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/106, 429/743, 688/392

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 243/106,429/743,688/392

Given fractions are 243/106,429/743,688/392

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 243,429,688

Greatest Common Factor of Numerators i.e. GCF of 243,429,688 is 1 .

LCM of Denominators means LCM of 106,743,392 as per the given fractions.

LCM of 106,743,392 is 15436568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,429,688

GCF of Fractions 243/106,429/743,688/392 is 1/15436568

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

Greatest Common Factor of 243,429,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,429,688 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

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 243,429,688 . The biggest common factor number is the GCF number.
So the greatest common factor 243,429,688 is 1.

Lets's calculate LCM of 106,743,392

2 106, 743, 392
53, 743, 196

∴ So the LCM of the given numbers is 2 x 53 x 743 x 196 = 15436568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15436568

Therefore, the GCF of Fractions 243/106,429/743,688/392 is 1/15436568

Least Common Multiple of 106,743,392 with GCF Formula

Least Common Multiple of 106,743,392 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 106,743,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,743,392) = 1

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

GCF(106,743,392) x common factors =1 x 2 = 2

LCM(106,743,392) = ( 106 × 743 × 392 ) / 2

LCM(106,743,392) = 30873136 / 2

LCM(106,743,392) = 15436568


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 243/106, 429/743, 688/392

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 243/106, 429/743, 688/392?

Answer: GCF of Numerators as per given numbers 243/106, 429/743, 688/392 is

GCF of Numerators i.e. for 243,429,688 is 1

LCM of denominators i.e. for 106,743,392 is 15436568.

Thus, GCF of Fractions is 1/15436568.Finally, GCF of Fractions for 243/106, 429/743, 688/392 is 1/15436568.