Greatest Common Factor of 484/583, 960/464, 259/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 484/583, 960/464, 259/106

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 484/583,960/464,259/106

Given fractions are 484/583,960/464,259/106

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 484,960,259

Greatest Common Factor of Numerators i.e. GCF of 484,960,259 is 1 .

LCM of Denominators means LCM of 583,464,106 as per the given fractions.

LCM of 583,464,106 is 270512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 484,960,259

GCF of Fractions 484/583,960/464,259/106 is 1/270512

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

Greatest Common Factor of 484,960,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,960,259 By Matching Biggest Common Factor Method

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 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 484,960,259 . The biggest common factor number is the GCF number.
So the greatest common factor 484,960,259 is 1.

Lets's calculate LCM of 583,464,106

2 583, 464, 106
53 583, 232, 53
11, 232, 1

∴ So the LCM of the given numbers is 2 x 53 x 11 x 232 x 1 = 270512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270512

Therefore, the GCF of Fractions 484/583,960/464,259/106 is 1/270512

Least Common Multiple of 583,464,106 with GCF Formula

Least Common Multiple of 583,464,106 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 583,464,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,464,106) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(583,464,106) x common factors =1 x 106 = 106

LCM(583,464,106) = ( 583 × 464 × 106 ) / 106

LCM(583,464,106) = 28674272 / 106

LCM(583,464,106) = 270512


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 484/583, 960/464, 259/106

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 484/583, 960/464, 259/106?

Answer: GCF of Numerators as per given numbers 484/583, 960/464, 259/106 is

GCF of Numerators i.e. for 484,960,259 is 1

LCM of denominators i.e. for 583,464,106 is 270512.

Thus, GCF of Fractions is 1/270512.Finally, GCF of Fractions for 484/583, 960/464, 259/106 is 1/270512.