Greatest Common Factor of 405/30, 622/96, 344/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/30, 622/96, 344/523

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 405/30,622/96,344/523

Given fractions are 405/30,622/96,344/523

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 405,622,344

Greatest Common Factor of Numerators i.e. GCF of 405,622,344 is 1 .

LCM of Denominators means LCM of 30,96,523 as per the given fractions.

LCM of 30,96,523 is 251040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,622,344

GCF of Fractions 405/30,622/96,344/523 is 1/251040

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

Greatest Common Factor of 405,622,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,622,344 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

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

Greatest Common Factor

We found the factors 405,622,344 . The biggest common factor number is the GCF number.
So the greatest common factor 405,622,344 is 1.

Lets's calculate LCM of 30,96,523

2 30, 96, 523
3 15, 48, 523
5, 16, 523

∴ So the LCM of the given numbers is 2 x 3 x 5 x 16 x 523 = 251040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251040

Therefore, the GCF of Fractions 405/30,622/96,344/523 is 1/251040

Least Common Multiple of 30,96,523 with GCF Formula

Least Common Multiple of 30,96,523 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 30,96,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,96,523) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,96,523) x common factors =1 x 6 = 6

LCM(30,96,523) = ( 30 × 96 × 523 ) / 6

LCM(30,96,523) = 1506240 / 6

LCM(30,96,523) = 251040


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 405/30, 622/96, 344/523

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 405/30, 622/96, 344/523?

Answer: GCF of Numerators as per given numbers 405/30, 622/96, 344/523 is

GCF of Numerators i.e. for 405,622,344 is 1

LCM of denominators i.e. for 30,96,523 is 251040.

Thus, GCF of Fractions is 1/251040.Finally, GCF of Fractions for 405/30, 622/96, 344/523 is 1/251040.