How to Find GCF of 9389/500, 8267/8936?

GCF of 9389/500, 8267/8936

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 9389/500, 8267/8936 i.e 1/1117000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9389/500, 8267/8936.

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 9389/500,8267/8936?

Given fractions are 9389/500,8267/8936

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 9389/500,8267/8936, numerators are 9389,8267

Denominators are 500,8936

The GCF of 9389,8267 is 1 .

LCM of 500,8936 is 1117000.

The greatest common factor of 9389/500,8267/8936 = [GCF of 9389,8267]/[LCM of 500,8936]= 1/1117000

Therefore, the GCF of 9389/500,8267/8936 is 1/1117000.

Greatest Common Factor of 9389,8267

To find the highest common factor of 9389,8267, we have to find the factors of both numbers and list the highest common factor.

The factors of 9389 are 1, 41, 229, 9389

The factors of 8267 are 1, 7, 1181, 8267

The HCF of 9389,8267 is 1.

Lets's calculate GCF of 9389,8267

Greatest Common Factor (GCF) of 9389,8267 By Common Division

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

Greatest Common Factor of 9389,8267 By Matching Biggest Common Factor Method

Now, list down the factors of 9389

1,41,229,9389

Now, list down the factors of 8267

1,7,1181,8267

Greatest Common Factor

We found the factors 9389,8267 . The biggest common factor number is the GCF number.
So the greatest common factor 9389,8267 is 1.

Lets's calculate LCM of 500,8936

Lowest Common Multiple of 500,8936 using Common Division

2	500, 8936
2	250, 4468
	125, 2234

∴ So the LCM of the given numbers is 2 x 2 x 125 x 2234 = 1117000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1117000

Therefore, the GCF of Fractions 9389/500,8267/8936 is 1/1117000

Least Common Multiple of 500,8936 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 500,8936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,8936) = 4

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

GCF(500,8936) x common factors =4 x 1 = 4

LCM(500,8936) = ( 500 × 8936 ) / 4

LCM(500,8936) = 4468000 / 4

LCM(500,8936) = 1117000

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FAQs on GCF of Fractions of 9389/500, 8267/8936

1. What is the HCF of 9389,8267?

The HCF of 9389,8267 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 9389/500, 8267/8936?

Answer: GCF of Numerators as per given numbers 9389/500, 8267/8936 is

GCF of Numerators i.e. for 9389,8267 is 1

LCM of denominators i.e. for 500,8936 is 1117000.

Thus, GCF of Fractions is 1/1117000.Finally, GCF of Fractions for 9389/500, 8267/8936 is 1/1117000.