Greatest Common Factor of 30/298, 34/430, 243/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/298, 34/430, 243/454

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 30/298,34/430,243/454

Given fractions are 30/298,34/430,243/454

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 30,34,243

Greatest Common Factor of Numerators i.e. GCF of 30,34,243 is 1 .

LCM of Denominators means LCM of 298,430,454 as per the given fractions.

LCM of 298,430,454 is 14543890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,34,243

GCF of Fractions 30/298,34/430,243/454 is 1/14543890

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

Greatest Common Factor of 30,34,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,34,243 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 243

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

1,3,9,27,81,243

Greatest Common Factor

We found the factors 30,34,243 . The biggest common factor number is the GCF number.
So the greatest common factor 30,34,243 is 1.

Lets's calculate LCM of 298,430,454

2 298, 430, 454
149, 215, 227

∴ So the LCM of the given numbers is 2 x 149 x 215 x 227 = 14543890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14543890

Therefore, the GCF of Fractions 30/298,34/430,243/454 is 1/14543890

Least Common Multiple of 298,430,454 with GCF Formula

Least Common Multiple of 298,430,454 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 298,430,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,430,454) = 2

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

GCF(298,430,454) x common factors =2 x 2 = 4

LCM(298,430,454) = ( 298 × 430 × 454 ) / 4

LCM(298,430,454) = 58175560 / 4

LCM(298,430,454) = 14543890


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 30/298, 34/430, 243/454

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 30/298, 34/430, 243/454?

Answer: GCF of Numerators as per given numbers 30/298, 34/430, 243/454 is

GCF of Numerators i.e. for 30,34,243 is 1

LCM of denominators i.e. for 298,430,454 is 14543890.

Thus, GCF of Fractions is 1/14543890.Finally, GCF of Fractions for 30/298, 34/430, 243/454 is 1/14543890.