How to Find GCF of 8993/297, 4922/8597?

GCF of 8993/297, 4922/8597

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 8993/297, 4922/8597 i.e 23/2553309 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8993/297, 4922/8597.

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 8993/297,4922/8597?

Given fractions are 8993/297,4922/8597

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 8993/297,4922/8597, numerators are 8993,4922

Denominators are 297,8597

The GCF of 8993,4922 is 23 .

LCM of 297,8597 is 2553309.

The greatest common factor of 8993/297,4922/8597 = [GCF of 8993,4922]/[LCM of 297,8597]= 23/2553309

Therefore, the GCF of 8993/297,4922/8597 is 23/2553309.

Greatest Common Factor of 8993,4922

To find the highest common factor of 8993,4922, we have to find the factors of both numbers and list the highest common factor.

The factors of 8993 are 1, 17, 23, 391, 529, 8993

The factors of 4922 are 1, 2, 23, 46, 107, 214, 2461, 4922

The HCF of 8993,4922 is 23.

Lets's calculate GCF of 8993,4922

Greatest Common Factor (GCF) of 8993,4922 By Common Division

23	8993, 4922
	391, 214

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 8993,4922 By Matching Biggest Common Factor Method

Now, list down the factors of 8993

1,17,23,391,529,8993

Now, list down the factors of 4922

1,2,23,46,107,214,2461,4922

Greatest Common Factor

We found the factors 8993,4922 . The biggest common factor number is the GCF number.
So the greatest common factor 8993,4922 is 23.

Lets's calculate LCM of 297,8597

Lowest Common Multiple of 297,8597 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2553309

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2553309

Therefore, the GCF of Fractions 8993/297,4922/8597 is 23/2553309

Least Common Multiple of 297,8597 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 297,8597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,8597) = 1

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

GCF(297,8597) x common factors =1 x 1 = 1

LCM(297,8597) = ( 297 × 8597 ) / 1

LCM(297,8597) = 2553309 / 1

LCM(297,8597) = 2553309

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FAQs on GCF of Fractions of 8993/297, 4922/8597

1. What is the HCF of 8993,4922?

The HCF of 8993,4922 is 23

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 8993/297, 4922/8597?

Answer: GCF of Numerators as per given numbers 8993/297, 4922/8597 is

GCF of Numerators i.e. for 8993,4922 is 23

LCM of denominators i.e. for 297,8597 is 2553309.

Thus, GCF of Fractions is 23/2553309.Finally, GCF of Fractions for 8993/297, 4922/8597 is 23/2553309.