Greatest Common Factor of 706/96, 305/98, 523/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 706/96, 305/98, 523/981

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 706/96,305/98,523/981

Given fractions are 706/96,305/98,523/981

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 706,305,523

Greatest Common Factor of Numerators i.e. GCF of 706,305,523 is 1 .

LCM of Denominators means LCM of 96,98,981 as per the given fractions.

LCM of 96,98,981 is 1538208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 706,305,523

GCF of Fractions 706/96,305/98,523/981 is 1/1538208

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

Greatest Common Factor of 706,305,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,305,523 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

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 706,305,523 . The biggest common factor number is the GCF number.
So the greatest common factor 706,305,523 is 1.

Lets's calculate LCM of 96,98,981

2 96, 98, 981
3 48, 49, 981
16, 49, 327

∴ So the LCM of the given numbers is 2 x 3 x 16 x 49 x 327 = 1538208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1538208

Therefore, the GCF of Fractions 706/96,305/98,523/981 is 1/1538208

Least Common Multiple of 96,98,981 with GCF Formula

Least Common Multiple of 96,98,981 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 96,98,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,98,981) = 1

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

GCF(96,98,981) x common factors =1 x 6 = 6

LCM(96,98,981) = ( 96 × 98 × 981 ) / 6

LCM(96,98,981) = 9229248 / 6

LCM(96,98,981) = 1538208


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 706/96, 305/98, 523/981

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 706/96, 305/98, 523/981?

Answer: GCF of Numerators as per given numbers 706/96, 305/98, 523/981 is

GCF of Numerators i.e. for 706,305,523 is 1

LCM of denominators i.e. for 96,98,981 is 1538208.

Thus, GCF of Fractions is 1/1538208.Finally, GCF of Fractions for 706/96, 305/98, 523/981 is 1/1538208.