Greatest Common Factor of 470/9823, 414/7379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/9823, 414/7379

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 470/9823,414/7379

Given fractions are 470/9823,414/7379

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 470,414

Greatest Common Factor of Numerators i.e. GCF of 470,414 is 2 .

LCM of Denominators means LCM of 9823,7379 as per the given fractions.

LCM of 9823,7379 is 1542211 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,414

GCF of Fractions 470/9823,414/7379 is 2/1542211

2 470, 414
235, 207

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

Greatest Common Factor of 470,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,414 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 470,414 . The biggest common factor number is the GCF number.
So the greatest common factor 470,414 is 2.

Lets's calculate LCM of 9823,7379

47 9823, 7379
209, 157

∴ So the LCM of the given numbers is 47 x 209 x 157 = 1542211

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1542211

Therefore, the GCF of Fractions 470/9823,414/7379 is 2/1542211

Least Common Multiple of 9823,7379 with GCF Formula

Least Common Multiple of 9823,7379 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 9823,7379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9823,7379) = 47

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

GCF(9823,7379) x common factors =47 x 1 = 47

LCM(9823,7379) = ( 9823 × 7379 ) / 47

LCM(9823,7379) = 72483917 / 47

LCM(9823,7379) = 1542211


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 470/9823, 414/7379

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 470/9823, 414/7379?

Answer: GCF of Numerators as per given numbers 470/9823, 414/7379 is

GCF of Numerators i.e. for 470,414 is 2

LCM of denominators i.e. for 9823,7379 is 1542211.

Thus, GCF of Fractions is 2/1542211.Finally, GCF of Fractions for 470/9823, 414/7379 is 2/1542211.