How to Find GCF of 9657/488, 2087/6034?

GCF of 9657/488, 2087/6034

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 9657/488, 2087/6034 i.e 1/1472296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9657/488, 2087/6034.

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 9657/488,2087/6034?

Given fractions are 9657/488,2087/6034

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 9657/488,2087/6034, numerators are 9657,2087

Denominators are 488,6034

The GCF of 9657,2087 is 1 .

LCM of 488,6034 is 1472296.

The greatest common factor of 9657/488,2087/6034 = [GCF of 9657,2087]/[LCM of 488,6034]= 1/1472296

Therefore, the GCF of 9657/488,2087/6034 is 1/1472296.

Greatest Common Factor of 9657,2087

To find the highest common factor of 9657,2087, we have to find the factors of both numbers and list the highest common factor.

The factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657

The factors of 2087 are 1, 2087

The HCF of 9657,2087 is 1.

Lets's calculate GCF of 9657,2087

Greatest Common Factor (GCF) of 9657,2087 By Common Division

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

Greatest Common Factor of 9657,2087 By Matching Biggest Common Factor Method

Now, list down the factors of 9657

1,3,9,29,37,87,111,261,333,1073,3219,9657

Now, list down the factors of 2087

1,2087

Greatest Common Factor

We found the factors 9657,2087 . The biggest common factor number is the GCF number.
So the greatest common factor 9657,2087 is 1.

Lets's calculate LCM of 488,6034

Lowest Common Multiple of 488,6034 using Common Division

2	488, 6034
	244, 3017

∴ So the LCM of the given numbers is 2 x 244 x 3017 = 1472296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1472296

Therefore, the GCF of Fractions 9657/488,2087/6034 is 1/1472296

Least Common Multiple of 488,6034 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 488,6034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,6034) = 2

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

GCF(488,6034) x common factors =2 x 1 = 2

LCM(488,6034) = ( 488 × 6034 ) / 2

LCM(488,6034) = 2944592 / 2

LCM(488,6034) = 1472296

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FAQs on GCF of Fractions of 9657/488, 2087/6034

1. What is the HCF of 9657,2087?

The HCF of 9657,2087 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 9657/488, 2087/6034?

Answer: GCF of Numerators as per given numbers 9657/488, 2087/6034 is

GCF of Numerators i.e. for 9657,2087 is 1

LCM of denominators i.e. for 488,6034 is 1472296.

Thus, GCF of Fractions is 1/1472296.Finally, GCF of Fractions for 9657/488, 2087/6034 is 1/1472296.