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GCF of 9183/587, 8387/501

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 9183/587, 8387/501 i.e 1/294087 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9183/587, 8387/501.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9183/587,8387/501?

Given fractions are 9183/587,8387/501

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 9183/587,8387/501, numerators are 9183,8387

Denominators are 587,501

The GCF of 9183,8387 is 1 .

LCM of 587,501 is 294087.

The greatest common factor of 9183/587,8387/501 = [GCF of 9183,8387]/[LCM of 587,501]= 1/294087

Therefore, the GCF of 9183/587,8387/501 is 1/294087.

Greatest Common Factor of 9183,8387

To find the highest common factor of 9183,8387, we have to find the factors of both numbers and list the highest common factor.

The factors of 9183 are 1, 3, 3061, 9183

The factors of 8387 are 1, 8387

The HCF of 9183,8387 is 1.

Lets's calculate GCF of 9183,8387

Greatest Common Factor (GCF) of 9183,8387 By Common Division

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

Greatest Common Factor of 9183,8387 By Matching Biggest Common Factor Method

Greatest Common Factor of 9183,8387 By Matching Biggest Common Factor Method

Now, list down the factors of 9183

:

1,3,3061,9183

Now, list down the factors of 8387

:

1,8387

Greatest Common Factor

We found the factors 9183,8387 . The biggest common factor number is the GCF number.
So the greatest common factor 9183,8387 is 1.

Lets's calculate LCM of 587,501

Lowest Common Multiple of 587,501 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 294087

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294087

Therefore, the GCF of Fractions 9183/587,8387/501 is 1/294087

Least Common Multiple of 587,501 with GCF Formula

Least Common Multiple of 587,501 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 587,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,501) = 1

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

GCF(587,501) x common factors =1 x 1 = 1

LCM(587,501) = ( 587 × 501 ) / 1

LCM(587,501) = 294087 / 1

LCM(587,501) = 294087


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FAQs on GCF of Fractions of 9183/587, 8387/501

1. What is the HCF of 9183,8387?

The HCF of 9183,8387 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 9183/587, 8387/501?

Answer: GCF of Numerators as per given numbers 9183/587, 8387/501 is

GCF of Numerators i.e. for 9183,8387 is 1

LCM of denominators i.e. for 587,501 is 294087.

Thus, GCF of Fractions is 1/294087.Finally, GCF of Fractions for 9183/587, 8387/501 is 1/294087.