How to Find GCF of 9663/604, 2037/1159?

GCF of 9663/604, 2037/1159

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 9663/604, 2037/1159 i.e 3/700036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9663/604, 2037/1159.

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 9663/604,2037/1159?

Given fractions are 9663/604,2037/1159

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 9663/604,2037/1159, numerators are 9663,2037

Denominators are 604,1159

The GCF of 9663,2037 is 3 .

LCM of 604,1159 is 700036.

The greatest common factor of 9663/604,2037/1159 = [GCF of 9663,2037]/[LCM of 604,1159]= 3/700036

Therefore, the GCF of 9663/604,2037/1159 is 3/700036.

Greatest Common Factor of 9663,2037

To find the highest common factor of 9663,2037, we have to find the factors of both numbers and list the highest common factor.

The factors of 9663 are 1, 3, 3221, 9663

The factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037

The HCF of 9663,2037 is 3.

Lets's calculate GCF of 9663,2037

Greatest Common Factor (GCF) of 9663,2037 By Common Division

3	9663, 2037
	3221, 679

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9663,2037 By Matching Biggest Common Factor Method

Now, list down the factors of 9663

1,3,3221,9663

Now, list down the factors of 2037

1,3,7,21,97,291,679,2037

Greatest Common Factor

We found the factors 9663,2037 . The biggest common factor number is the GCF number.
So the greatest common factor 9663,2037 is 3.

Lets's calculate LCM of 604,1159

Lowest Common Multiple of 604,1159 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 700036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/700036

Therefore, the GCF of Fractions 9663/604,2037/1159 is 3/700036

Least Common Multiple of 604,1159 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 604,1159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,1159) = 1

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

GCF(604,1159) x common factors =1 x 1 = 1

LCM(604,1159) = ( 604 × 1159 ) / 1

LCM(604,1159) = 700036 / 1

LCM(604,1159) = 700036

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FAQs on GCF of Fractions of 9663/604, 2037/1159

1. What is the HCF of 9663,2037?

The HCF of 9663,2037 is 3

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 9663/604, 2037/1159?

Answer: GCF of Numerators as per given numbers 9663/604, 2037/1159 is

GCF of Numerators i.e. for 9663,2037 is 3

LCM of denominators i.e. for 604,1159 is 700036.

Thus, GCF of Fractions is 3/700036.Finally, GCF of Fractions for 9663/604, 2037/1159 is 3/700036.