Greatest Common Factor of 206/156, 306/298, 737/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/156, 306/298, 737/406

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 206/156,306/298,737/406

Given fractions are 206/156,306/298,737/406

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 206,306,737

Greatest Common Factor of Numerators i.e. GCF of 206,306,737 is 1 .

LCM of Denominators means LCM of 156,298,406 as per the given fractions.

LCM of 156,298,406 is 4718532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,306,737

GCF of Fractions 206/156,306/298,737/406 is 1/4718532

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

Greatest Common Factor of 206,306,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,306,737 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 206,306,737 . The biggest common factor number is the GCF number.
So the greatest common factor 206,306,737 is 1.

Lets's calculate LCM of 156,298,406

2 156, 298, 406
78, 149, 203

∴ So the LCM of the given numbers is 2 x 78 x 149 x 203 = 4718532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4718532

Therefore, the GCF of Fractions 206/156,306/298,737/406 is 1/4718532

Least Common Multiple of 156,298,406 with GCF Formula

Least Common Multiple of 156,298,406 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 156,298,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,298,406) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(156,298,406) x common factors =2 x 2 = 4

LCM(156,298,406) = ( 156 × 298 × 406 ) / 4

LCM(156,298,406) = 18874128 / 4

LCM(156,298,406) = 4718532


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 206/156, 306/298, 737/406

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 206/156, 306/298, 737/406?

Answer: GCF of Numerators as per given numbers 206/156, 306/298, 737/406 is

GCF of Numerators i.e. for 206,306,737 is 1

LCM of denominators i.e. for 156,298,406 is 4718532.

Thus, GCF of Fractions is 1/4718532.Finally, GCF of Fractions for 206/156, 306/298, 737/406 is 1/4718532.