How to Find GCF of 9973/188, 5997/8566?

GCF of 9973/188, 5997/8566

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 9973/188, 5997/8566 i.e 1/805204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9973/188, 5997/8566.

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 9973/188,5997/8566?

Given fractions are 9973/188,5997/8566

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 9973/188,5997/8566, numerators are 9973,5997

Denominators are 188,8566

The GCF of 9973,5997 is 1 .

LCM of 188,8566 is 805204.

The greatest common factor of 9973/188,5997/8566 = [GCF of 9973,5997]/[LCM of 188,8566]= 1/805204

Therefore, the GCF of 9973/188,5997/8566 is 1/805204.

Greatest Common Factor of 9973,5997

To find the highest common factor of 9973,5997, we have to find the factors of both numbers and list the highest common factor.

The factors of 9973 are 1, 9973

The factors of 5997 are 1, 3, 1999, 5997

The HCF of 9973,5997 is 1.

Lets's calculate GCF of 9973,5997

Greatest Common Factor (GCF) of 9973,5997 By Common Division

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

Greatest Common Factor of 9973,5997 By Matching Biggest Common Factor Method

Now, list down the factors of 9973

1,9973

Now, list down the factors of 5997

1,3,1999,5997

Greatest Common Factor

We found the factors 9973,5997 . The biggest common factor number is the GCF number.
So the greatest common factor 9973,5997 is 1.

Lets's calculate LCM of 188,8566

Lowest Common Multiple of 188,8566 using Common Division

2	188, 8566
	94, 4283

∴ So the LCM of the given numbers is 2 x 94 x 4283 = 805204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/805204

Therefore, the GCF of Fractions 9973/188,5997/8566 is 1/805204

Least Common Multiple of 188,8566 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 188,8566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,8566) = 2

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

GCF(188,8566) x common factors =2 x 1 = 2

LCM(188,8566) = ( 188 × 8566 ) / 2

LCM(188,8566) = 1610408 / 2

LCM(188,8566) = 805204

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FAQs on GCF of Fractions of 9973/188, 5997/8566

1. What is the HCF of 9973,5997?

The HCF of 9973,5997 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 9973/188, 5997/8566?

Answer: GCF of Numerators as per given numbers 9973/188, 5997/8566 is

GCF of Numerators i.e. for 9973,5997 is 1

LCM of denominators i.e. for 188,8566 is 805204.

Thus, GCF of Fractions is 1/805204.Finally, GCF of Fractions for 9973/188, 5997/8566 is 1/805204.