Greatest Common Factor of 98/97, 606/49, 724/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/97, 606/49, 724/326

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 98/97,606/49,724/326

Given fractions are 98/97,606/49,724/326

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 98,606,724

Greatest Common Factor of Numerators i.e. GCF of 98,606,724 is 2 .

LCM of Denominators means LCM of 97,49,326 as per the given fractions.

LCM of 97,49,326 is 1549478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,606,724

GCF of Fractions 98/97,606/49,724/326 is 2/1549478

2 98, 606, 724
49, 303, 362

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

Greatest Common Factor of 98,606,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,606,724 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 98,606,724 . The biggest common factor number is the GCF number.
So the greatest common factor 98,606,724 is 2.

Lets's calculate LCM of 97,49,326

Given numbers has no common factors except 1. So, there LCM is their product i.e 1549478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1549478

Therefore, the GCF of Fractions 98/97,606/49,724/326 is 2/1549478

Least Common Multiple of 97,49,326 with GCF Formula

Least Common Multiple of 97,49,326 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 97,49,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,49,326) = 1

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

GCF(97,49,326) x common factors =1 x 1 = 1

LCM(97,49,326) = ( 97 × 49 × 326 ) / 1

LCM(97,49,326) = 1549478 / 1

LCM(97,49,326) = 1549478


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 98/97, 606/49, 724/326

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 98/97, 606/49, 724/326?

Answer: GCF of Numerators as per given numbers 98/97, 606/49, 724/326 is

GCF of Numerators i.e. for 98,606,724 is 2

LCM of denominators i.e. for 97,49,326 is 1549478.

Thus, GCF of Fractions is 2/1549478.Finally, GCF of Fractions for 98/97, 606/49, 724/326 is 2/1549478.