Greatest Common Factor of 849/98, 969/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 849/98, 969/306

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 849/98,969/306

Given fractions are 849/98,969/306

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 849,969

Greatest Common Factor of Numerators i.e. GCF of 849,969 is 3 .

LCM of Denominators means LCM of 98,306 as per the given fractions.

LCM of 98,306 is 14994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 849,969

GCF of Fractions 849/98,969/306 is 3/14994

3 849, 969
283, 323

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

Greatest Common Factor of 849,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,969 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 849,969 . The biggest common factor number is the GCF number.
So the greatest common factor 849,969 is 3.

Lets's calculate LCM of 98,306

2 98, 306
49, 153

∴ So the LCM of the given numbers is 2 x 49 x 153 = 14994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14994

Therefore, the GCF of Fractions 849/98,969/306 is 3/14994

Least Common Multiple of 98,306 with GCF Formula

Least Common Multiple of 98,306 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 98,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,306) = 2

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

GCF(98,306) x common factors =2 x 1 = 2

LCM(98,306) = ( 98 × 306 ) / 2

LCM(98,306) = 29988 / 2

LCM(98,306) = 14994


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 849/98, 969/306

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 849/98, 969/306?

Answer: GCF of Numerators as per given numbers 849/98, 969/306 is

GCF of Numerators i.e. for 849,969 is 3

LCM of denominators i.e. for 98,306 is 14994.

Thus, GCF of Fractions is 3/14994.Finally, GCF of Fractions for 849/98, 969/306 is 3/14994.