Greatest Common Factor of 909/298, 1969/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 909/298, 1969/654

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 909/298,1969/654

Given fractions are 909/298,1969/654

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 909,1969

Greatest Common Factor of Numerators i.e. GCF of 909,1969 is 1 .

LCM of Denominators means LCM of 298,654 as per the given fractions.

LCM of 298,654 is 97446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 909,1969

GCF of Fractions 909/298,1969/654 is 1/97446

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

Greatest Common Factor of 909,1969 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,1969 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 1969

List of positive integer factors of 1969 that divides 1969 without a remainder.

1,11,179,1969

Greatest Common Factor

We found the factors 909,1969 . The biggest common factor number is the GCF number.
So the greatest common factor 909,1969 is 1.

Lets's calculate LCM of 298,654

2 298, 654
149, 327

∴ So the LCM of the given numbers is 2 x 149 x 327 = 97446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97446

Therefore, the GCF of Fractions 909/298,1969/654 is 1/97446

Least Common Multiple of 298,654 with GCF Formula

Least Common Multiple of 298,654 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 298,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,654) = 2

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

GCF(298,654) x common factors =2 x 1 = 2

LCM(298,654) = ( 298 × 654 ) / 2

LCM(298,654) = 194892 / 2

LCM(298,654) = 97446


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 909/298, 1969/654

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 909/298, 1969/654?

Answer: GCF of Numerators as per given numbers 909/298, 1969/654 is

GCF of Numerators i.e. for 909,1969 is 1

LCM of denominators i.e. for 298,654 is 97446.

Thus, GCF of Fractions is 1/97446.Finally, GCF of Fractions for 909/298, 1969/654 is 1/97446.