How to Find GCF of 9697/582, 5087/7566?

GCF of 9697/582, 5087/7566

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 9697/582, 5087/7566 i.e 1/7566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9697/582, 5087/7566.

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 9697/582,5087/7566?

Given fractions are 9697/582,5087/7566

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 9697/582,5087/7566, numerators are 9697,5087

Denominators are 582,7566

The GCF of 9697,5087 is 1 .

LCM of 582,7566 is 7566.

The greatest common factor of 9697/582,5087/7566 = [GCF of 9697,5087]/[LCM of 582,7566]= 1/7566

Therefore, the GCF of 9697/582,5087/7566 is 1/7566.

Greatest Common Factor of 9697,5087

To find the highest common factor of 9697,5087, we have to find the factors of both numbers and list the highest common factor.

The factors of 9697 are 1, 9697

The factors of 5087 are 1, 5087

The HCF of 9697,5087 is 1.

Lets's calculate GCF of 9697,5087

Greatest Common Factor (GCF) of 9697,5087 By Common Division

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

Greatest Common Factor of 9697,5087 By Matching Biggest Common Factor Method

Now, list down the factors of 9697

1,9697

Now, list down the factors of 5087

1,5087

Greatest Common Factor

We found the factors 9697,5087 . The biggest common factor number is the GCF number.
So the greatest common factor 9697,5087 is 1.

Lets's calculate LCM of 582,7566

Lowest Common Multiple of 582,7566 using Common Division

2	582, 7566
3	291, 3783
97	97, 1261
	1, 13

∴ So the LCM of the given numbers is 2 x 3 x 97 x 1 x 13 = 7566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7566

Therefore, the GCF of Fractions 9697/582,5087/7566 is 1/7566

Least Common Multiple of 582,7566 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 582,7566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,7566) = 582

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

GCF(582,7566) x common factors =582 x 1 = 582

LCM(582,7566) = ( 582 × 7566 ) / 582

LCM(582,7566) = 4403412 / 582

LCM(582,7566) = 7566

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FAQs on GCF of Fractions of 9697/582, 5087/7566

1. What is the HCF of 9697,5087?

The HCF of 9697,5087 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 9697/582, 5087/7566?

Answer: GCF of Numerators as per given numbers 9697/582, 5087/7566 is

GCF of Numerators i.e. for 9697,5087 is 1

LCM of denominators i.e. for 582,7566 is 7566.

Thus, GCF of Fractions is 1/7566.Finally, GCF of Fractions for 9697/582, 5087/7566 is 1/7566.