How to Find GCF of 6069/738, 1801/2306?

GCF of 6069/738, 1801/2306

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6069/738, 1801/2306 i.e 1/850914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6069/738, 1801/2306.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6069/738,1801/2306?

Given fractions are 6069/738,1801/2306

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6069/738,1801/2306, numerators are 6069,1801

Denominators are 738,2306

The GCF of 6069,1801 is 1 .

LCM of 738,2306 is 850914.

The greatest common factor of 6069/738,1801/2306 = [GCF of 6069,1801]/[LCM of 738,2306]= 1/850914

Therefore, the GCF of 6069/738,1801/2306 is 1/850914.

Greatest Common Factor of 6069,1801

To find the highest common factor of 6069,1801, we have to find the factors of both numbers and list the highest common factor.

The factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069

The factors of 1801 are 1, 1801

The HCF of 6069,1801 is 1.

Lets's calculate GCF of 6069,1801

Greatest Common Factor (GCF) of 6069,1801 By Common Division

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

Greatest Common Factor of 6069,1801 By Matching Biggest Common Factor Method

Now, list down the factors of 6069

1,3,7,17,21,51,119,289,357,867,2023,6069

Now, list down the factors of 1801

1,1801

Greatest Common Factor

We found the factors 6069,1801 . The biggest common factor number is the GCF number.
So the greatest common factor 6069,1801 is 1.

Lets's calculate LCM of 738,2306

Lowest Common Multiple of 738,2306 using Common Division

2	738, 2306
	369, 1153

∴ So the LCM of the given numbers is 2 x 369 x 1153 = 850914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/850914

Therefore, the GCF of Fractions 6069/738,1801/2306 is 1/850914

Least Common Multiple of 738,2306 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 738,2306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,2306) = 2

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

GCF(738,2306) x common factors =2 x 1 = 2

LCM(738,2306) = ( 738 × 2306 ) / 2

LCM(738,2306) = 1701828 / 2

LCM(738,2306) = 850914

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6069/738, 1801/2306

1. What is the HCF of 6069,1801?

The HCF of 6069,1801 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 6069/738, 1801/2306?

Answer: GCF of Numerators as per given numbers 6069/738, 1801/2306 is

GCF of Numerators i.e. for 6069,1801 is 1

LCM of denominators i.e. for 738,2306 is 850914.

Thus, GCF of Fractions is 1/850914.Finally, GCF of Fractions for 6069/738, 1801/2306 is 1/850914.