Greatest Common Factor of 30/705, 484/902, 309/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/705, 484/902, 309/293

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 30/705,484/902,309/293

Given fractions are 30/705,484/902,309/293

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 30,484,309

Greatest Common Factor of Numerators i.e. GCF of 30,484,309 is 1 .

LCM of Denominators means LCM of 705,902,293 as per the given fractions.

LCM of 705,902,293 is 186321630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,484,309

GCF of Fractions 30/705,484/902,309/293 is 1/186321630

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

Greatest Common Factor of 30,484,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,484,309 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 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 30,484,309 . The biggest common factor number is the GCF number.
So the greatest common factor 30,484,309 is 1.

Lets's calculate LCM of 705,902,293

Given numbers has no common factors except 1. So, there LCM is their product i.e 186321630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186321630

Therefore, the GCF of Fractions 30/705,484/902,309/293 is 1/186321630

Least Common Multiple of 705,902,293 with GCF Formula

Least Common Multiple of 705,902,293 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 705,902,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,902,293) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(705,902,293) x common factors =1 x 1 = 1

LCM(705,902,293) = ( 705 × 902 × 293 ) / 1

LCM(705,902,293) = 186321630 / 1

LCM(705,902,293) = 186321630


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 30/705, 484/902, 309/293

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 30/705, 484/902, 309/293?

Answer: GCF of Numerators as per given numbers 30/705, 484/902, 309/293 is

GCF of Numerators i.e. for 30,484,309 is 1

LCM of denominators i.e. for 705,902,293 is 186321630.

Thus, GCF of Fractions is 1/186321630.Finally, GCF of Fractions for 30/705, 484/902, 309/293 is 1/186321630.