How to Find GCF of 2001/698, 5938/9423?

GCF of 2001/698, 5938/9423

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 2001/698, 5938/9423 i.e 1/18846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2001/698, 5938/9423.

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 2001/698,5938/9423?

Given fractions are 2001/698,5938/9423

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 2001/698,5938/9423, numerators are 2001,5938

Denominators are 698,9423

The GCF of 2001,5938 is 1 .

LCM of 698,9423 is 18846.

The greatest common factor of 2001/698,5938/9423 = [GCF of 2001,5938]/[LCM of 698,9423]= 1/18846

Therefore, the GCF of 2001/698,5938/9423 is 1/18846.

Greatest Common Factor of 2001,5938

To find the highest common factor of 2001,5938, we have to find the factors of both numbers and list the highest common factor.

The factors of 2001 are 1, 3, 23, 29, 69, 87, 667, 2001

The factors of 5938 are 1, 2, 2969, 5938

The HCF of 2001,5938 is 1.

Lets's calculate GCF of 2001,5938

Greatest Common Factor (GCF) of 2001,5938 By Common Division

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

Greatest Common Factor of 2001,5938 By Matching Biggest Common Factor Method

Now, list down the factors of 2001

1,3,23,29,69,87,667,2001

Now, list down the factors of 5938

1,2,2969,5938

Greatest Common Factor

We found the factors 2001,5938 . The biggest common factor number is the GCF number.
So the greatest common factor 2001,5938 is 1.

Lets's calculate LCM of 698,9423

Lowest Common Multiple of 698,9423 using Common Division

349	698, 9423
	2, 27

∴ So the LCM of the given numbers is 349 x 2 x 27 = 18846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18846

Therefore, the GCF of Fractions 2001/698,5938/9423 is 1/18846

Least Common Multiple of 698,9423 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 698,9423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,9423) = 349

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

GCF(698,9423) x common factors =349 x 1 = 349

LCM(698,9423) = ( 698 × 9423 ) / 349

LCM(698,9423) = 6577254 / 349

LCM(698,9423) = 18846

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FAQs on GCF of Fractions of 2001/698, 5938/9423

1. What is the HCF of 2001,5938?

The HCF of 2001,5938 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 2001/698, 5938/9423?

Answer: GCF of Numerators as per given numbers 2001/698, 5938/9423 is

GCF of Numerators i.e. for 2001,5938 is 1

LCM of denominators i.e. for 698,9423 is 18846.

Thus, GCF of Fractions is 1/18846.Finally, GCF of Fractions for 2001/698, 5938/9423 is 1/18846.