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GCF of 8171/583, 1006/8867

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 8171/583, 1006/8867 i.e 1/5169461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8171/583, 1006/8867.

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 8171/583,1006/8867?

Given fractions are 8171/583,1006/8867

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 8171/583,1006/8867, numerators are 8171,1006

Denominators are 583,8867

The GCF of 8171,1006 is 1 .

LCM of 583,8867 is 5169461.

The greatest common factor of 8171/583,1006/8867 = [GCF of 8171,1006]/[LCM of 583,8867]= 1/5169461

Therefore, the GCF of 8171/583,1006/8867 is 1/5169461.

Greatest Common Factor of 8171,1006

To find the highest common factor of 8171,1006, we have to find the factors of both numbers and list the highest common factor.

The factors of 8171 are 1, 8171

The factors of 1006 are 1, 2, 503, 1006

The HCF of 8171,1006 is 1.

Lets's calculate GCF of 8171,1006

Greatest Common Factor (GCF) of 8171,1006 By Common Division

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

Greatest Common Factor of 8171,1006 By Matching Biggest Common Factor Method

Greatest Common Factor of 8171,1006 By Matching Biggest Common Factor Method

Now, list down the factors of 8171

:

1,8171

Now, list down the factors of 1006

:

1,2,503,1006

Greatest Common Factor

We found the factors 8171,1006 . The biggest common factor number is the GCF number.
So the greatest common factor 8171,1006 is 1.

Lets's calculate LCM of 583,8867

Lowest Common Multiple of 583,8867 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5169461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5169461

Therefore, the GCF of Fractions 8171/583,1006/8867 is 1/5169461

Least Common Multiple of 583,8867 with GCF Formula

Least Common Multiple of 583,8867 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 583,8867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,8867) = 1

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

GCF(583,8867) x common factors =1 x 1 = 1

LCM(583,8867) = ( 583 × 8867 ) / 1

LCM(583,8867) = 5169461 / 1

LCM(583,8867) = 5169461


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FAQs on GCF of Fractions of 8171/583, 1006/8867

1. What is the HCF of 8171,1006?

The HCF of 8171,1006 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 8171/583, 1006/8867?

Answer: GCF of Numerators as per given numbers 8171/583, 1006/8867 is

GCF of Numerators i.e. for 8171,1006 is 1

LCM of denominators i.e. for 583,8867 is 5169461.

Thus, GCF of Fractions is 1/5169461.Finally, GCF of Fractions for 8171/583, 1006/8867 is 1/5169461.