How to Find GCF of 9787/500, 8618/5709?

GCF of 9787/500, 8618/5709

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 9787/500, 8618/5709 i.e 1/2854500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9787/500, 8618/5709.

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 9787/500,8618/5709?

Given fractions are 9787/500,8618/5709

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 9787/500,8618/5709, numerators are 9787,8618

Denominators are 500,5709

The GCF of 9787,8618 is 1 .

LCM of 500,5709 is 2854500.

The greatest common factor of 9787/500,8618/5709 = [GCF of 9787,8618]/[LCM of 500,5709]= 1/2854500

Therefore, the GCF of 9787/500,8618/5709 is 1/2854500.

Greatest Common Factor of 9787,8618

To find the highest common factor of 9787,8618, we have to find the factors of both numbers and list the highest common factor.

The factors of 9787 are 1, 9787

The factors of 8618 are 1, 2, 31, 62, 139, 278, 4309, 8618

The HCF of 9787,8618 is 1.

Lets's calculate GCF of 9787,8618

Greatest Common Factor (GCF) of 9787,8618 By Common Division

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

Greatest Common Factor of 9787,8618 By Matching Biggest Common Factor Method

Now, list down the factors of 9787

1,9787

Now, list down the factors of 8618

1,2,31,62,139,278,4309,8618

Greatest Common Factor

We found the factors 9787,8618 . The biggest common factor number is the GCF number.
So the greatest common factor 9787,8618 is 1.

Lets's calculate LCM of 500,5709

Lowest Common Multiple of 500,5709 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2854500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2854500

Therefore, the GCF of Fractions 9787/500,8618/5709 is 1/2854500

Least Common Multiple of 500,5709 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 500,5709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,5709) = 1

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

GCF(500,5709) x common factors =1 x 1 = 1

LCM(500,5709) = ( 500 × 5709 ) / 1

LCM(500,5709) = 2854500 / 1

LCM(500,5709) = 2854500

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FAQs on GCF of Fractions of 9787/500, 8618/5709

1. What is the HCF of 9787,8618?

The HCF of 9787,8618 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 9787/500, 8618/5709?

Answer: GCF of Numerators as per given numbers 9787/500, 8618/5709 is

GCF of Numerators i.e. for 9787,8618 is 1

LCM of denominators i.e. for 500,5709 is 2854500.

Thus, GCF of Fractions is 1/2854500.Finally, GCF of Fractions for 9787/500, 8618/5709 is 1/2854500.