Greatest Common Factor of 96/914, 24/698, 523/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/914, 24/698, 523/610

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 96/914,24/698,523/610

Given fractions are 96/914,24/698,523/610

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 96,24,523

Greatest Common Factor of Numerators i.e. GCF of 96,24,523 is 1 .

LCM of Denominators means LCM of 914,698,610 as per the given fractions.

LCM of 914,698,610 is 97290730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,24,523

GCF of Fractions 96/914,24/698,523/610 is 1/97290730

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

Greatest Common Factor of 96,24,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,24,523 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 96,24,523 . The biggest common factor number is the GCF number.
So the greatest common factor 96,24,523 is 1.

Lets's calculate LCM of 914,698,610

2 914, 698, 610
457, 349, 305

∴ So the LCM of the given numbers is 2 x 457 x 349 x 305 = 97290730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97290730

Therefore, the GCF of Fractions 96/914,24/698,523/610 is 1/97290730

Least Common Multiple of 914,698,610 with GCF Formula

Least Common Multiple of 914,698,610 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 914,698,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,698,610) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(914,698,610) x common factors =2 x 2 = 4

LCM(914,698,610) = ( 914 × 698 × 610 ) / 4

LCM(914,698,610) = 389162920 / 4

LCM(914,698,610) = 97290730


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 96/914, 24/698, 523/610

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 96/914, 24/698, 523/610?

Answer: GCF of Numerators as per given numbers 96/914, 24/698, 523/610 is

GCF of Numerators i.e. for 96,24,523 is 1

LCM of denominators i.e. for 914,698,610 is 97290730.

Thus, GCF of Fractions is 1/97290730.Finally, GCF of Fractions for 96/914, 24/698, 523/610 is 1/97290730.