Greatest Common Factor of 9956/19, 1306/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9956/19, 1306/302

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 9956/19,1306/302

Given fractions are 9956/19,1306/302

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 9956,1306

Greatest Common Factor of Numerators i.e. GCF of 9956,1306 is 2 .

LCM of Denominators means LCM of 19,302 as per the given fractions.

LCM of 19,302 is 5738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9956,1306

GCF of Fractions 9956/19,1306/302 is 2/5738

2 9956, 1306
4978, 653

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

Greatest Common Factor of 9956,1306 By Matching Biggest Common Factor Method

Greatest Common Factor of 9956,1306 By Matching Biggest Common Factor Method

Factors of 9956

List of positive integer factors of 9956 that divides 9956 without a remainder.

1,2,4,19,38,76,131,262,524,2489,4978,9956

Factors of 1306

List of positive integer factors of 1306 that divides 1306 without a remainder.

1,2,653,1306

Greatest Common Factor

We found the factors 9956,1306 . The biggest common factor number is the GCF number.
So the greatest common factor 9956,1306 is 2.

Lets's calculate LCM of 19,302

Given numbers has no common factors except 1. So, there LCM is their product i.e 5738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5738

Therefore, the GCF of Fractions 9956/19,1306/302 is 2/5738

Least Common Multiple of 19,302 with GCF Formula

Least Common Multiple of 19,302 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 19,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,302) = 1

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

GCF(19,302) x common factors =1 x 1 = 1

LCM(19,302) = ( 19 × 302 ) / 1

LCM(19,302) = 5738 / 1

LCM(19,302) = 5738


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 9956/19, 1306/302

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 9956/19, 1306/302?

Answer: GCF of Numerators as per given numbers 9956/19, 1306/302 is

GCF of Numerators i.e. for 9956,1306 is 2

LCM of denominators i.e. for 19,302 is 5738.

Thus, GCF of Fractions is 2/5738.Finally, GCF of Fractions for 9956/19, 1306/302 is 2/5738.