Greatest Common Factor of 414/958, 4833/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 414/958, 4833/160

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 414/958,4833/160

Given fractions are 414/958,4833/160

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 414,4833

Greatest Common Factor of Numerators i.e. GCF of 414,4833 is 9 .

LCM of Denominators means LCM of 958,160 as per the given fractions.

LCM of 958,160 is 76640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 414,4833

GCF of Fractions 414/958,4833/160 is 9/76640

3 414, 4833
3 138, 1611
46, 537

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 414,4833 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,4833 By Matching Biggest Common Factor Method

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

Factors of 4833

List of positive integer factors of 4833 that divides 4833 without a remainder.

1,3,9,27,179,537,1611,4833

Greatest Common Factor

We found the factors 414,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 414,4833 is 9.

Lets's calculate LCM of 958,160

2 958, 160
479, 80

∴ So the LCM of the given numbers is 2 x 479 x 80 = 76640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/76640

Therefore, the GCF of Fractions 414/958,4833/160 is 9/76640

Least Common Multiple of 958,160 with GCF Formula

Least Common Multiple of 958,160 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 958,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,160) = 2

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

GCF(958,160) x common factors =2 x 1 = 2

LCM(958,160) = ( 958 × 160 ) / 2

LCM(958,160) = 153280 / 2

LCM(958,160) = 76640


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 414/958, 4833/160

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 414/958, 4833/160?

Answer: GCF of Numerators as per given numbers 414/958, 4833/160 is

GCF of Numerators i.e. for 414,4833 is 9

LCM of denominators i.e. for 958,160 is 76640.

Thus, GCF of Fractions is 9/76640.Finally, GCF of Fractions for 414/958, 4833/160 is 9/76640.