Greatest Common Factor of 9909/814, 6074/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9909/814, 6074/412

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 9909/814,6074/412

Given fractions are 9909/814,6074/412

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 9909,6074

Greatest Common Factor of Numerators i.e. GCF of 9909,6074 is 1 .

LCM of Denominators means LCM of 814,412 as per the given fractions.

LCM of 814,412 is 167684 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9909,6074

GCF of Fractions 9909/814,6074/412 is 1/167684

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

Greatest Common Factor of 9909,6074 By Matching Biggest Common Factor Method

Greatest Common Factor of 9909,6074 By Matching Biggest Common Factor Method

Factors of 9909

List of positive integer factors of 9909 that divides 9909 without a remainder.

1,3,9,27,367,1101,3303,9909

Factors of 6074

List of positive integer factors of 6074 that divides 6074 without a remainder.

1,2,3037,6074

Greatest Common Factor

We found the factors 9909,6074 . The biggest common factor number is the GCF number.
So the greatest common factor 9909,6074 is 1.

Lets's calculate LCM of 814,412

2 814, 412
407, 206

∴ So the LCM of the given numbers is 2 x 407 x 206 = 167684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167684

Therefore, the GCF of Fractions 9909/814,6074/412 is 1/167684

Least Common Multiple of 814,412 with GCF Formula

Least Common Multiple of 814,412 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 814,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,412) = 2

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

GCF(814,412) x common factors =2 x 1 = 2

LCM(814,412) = ( 814 × 412 ) / 2

LCM(814,412) = 335368 / 2

LCM(814,412) = 167684


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 9909/814, 6074/412

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 9909/814, 6074/412?

Answer: GCF of Numerators as per given numbers 9909/814, 6074/412 is

GCF of Numerators i.e. for 9909,6074 is 1

LCM of denominators i.e. for 814,412 is 167684.

Thus, GCF of Fractions is 1/167684.Finally, GCF of Fractions for 9909/814, 6074/412 is 1/167684.