How to Find GCF of 8697/215, 5415/7173?

GCF of 8697/215, 5415/7173

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 8697/215, 5415/7173 i.e 3/1542195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8697/215, 5415/7173.

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 8697/215,5415/7173?

Given fractions are 8697/215,5415/7173

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 8697/215,5415/7173, numerators are 8697,5415

Denominators are 215,7173

The GCF of 8697,5415 is 3 .

LCM of 215,7173 is 1542195.

The greatest common factor of 8697/215,5415/7173 = [GCF of 8697,5415]/[LCM of 215,7173]= 3/1542195

Therefore, the GCF of 8697/215,5415/7173 is 3/1542195.

Greatest Common Factor of 8697,5415

To find the highest common factor of 8697,5415, we have to find the factors of both numbers and list the highest common factor.

The factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697

The factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415

The HCF of 8697,5415 is 3.

Lets's calculate GCF of 8697,5415

Greatest Common Factor (GCF) of 8697,5415 By Common Division

3	8697, 5415
	2899, 1805

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

Greatest Common Factor of 8697,5415 By Matching Biggest Common Factor Method

Now, list down the factors of 8697

1,3,13,39,223,669,2899,8697

Now, list down the factors of 5415

1,3,5,15,19,57,95,285,361,1083,1805,5415

Greatest Common Factor

We found the factors 8697,5415 . The biggest common factor number is the GCF number.
So the greatest common factor 8697,5415 is 3.

Lets's calculate LCM of 215,7173

Lowest Common Multiple of 215,7173 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1542195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1542195

Therefore, the GCF of Fractions 8697/215,5415/7173 is 3/1542195

Least Common Multiple of 215,7173 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 215,7173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,7173) = 1

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

GCF(215,7173) x common factors =1 x 1 = 1

LCM(215,7173) = ( 215 × 7173 ) / 1

LCM(215,7173) = 1542195 / 1

LCM(215,7173) = 1542195

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FAQs on GCF of Fractions of 8697/215, 5415/7173

1. What is the HCF of 8697,5415?

The HCF of 8697,5415 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 8697/215, 5415/7173?

Answer: GCF of Numerators as per given numbers 8697/215, 5415/7173 is

GCF of Numerators i.e. for 8697,5415 is 3

LCM of denominators i.e. for 215,7173 is 1542195.

Thus, GCF of Fractions is 3/1542195.Finally, GCF of Fractions for 8697/215, 5415/7173 is 3/1542195.