How to Find GCF of 2081/463, 8575/1726?

GCF of 2081/463, 8575/1726

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 2081/463, 8575/1726 i.e 1/799138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2081/463, 8575/1726.

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 2081/463,8575/1726?

Given fractions are 2081/463,8575/1726

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 2081/463,8575/1726, numerators are 2081,8575

Denominators are 463,1726

The GCF of 2081,8575 is 1 .

LCM of 463,1726 is 799138.

The greatest common factor of 2081/463,8575/1726 = [GCF of 2081,8575]/[LCM of 463,1726]= 1/799138

Therefore, the GCF of 2081/463,8575/1726 is 1/799138.

Greatest Common Factor of 2081,8575

To find the highest common factor of 2081,8575, we have to find the factors of both numbers and list the highest common factor.

The factors of 2081 are 1, 2081

The factors of 8575 are 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575

The HCF of 2081,8575 is 1.

Lets's calculate GCF of 2081,8575

Greatest Common Factor (GCF) of 2081,8575 By Common Division

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

Greatest Common Factor of 2081,8575 By Matching Biggest Common Factor Method

Now, list down the factors of 2081

1,2081

Now, list down the factors of 8575

1,5,7,25,35,49,175,245,343,1225,1715,8575

Greatest Common Factor

We found the factors 2081,8575 . The biggest common factor number is the GCF number.
So the greatest common factor 2081,8575 is 1.

Lets's calculate LCM of 463,1726

Lowest Common Multiple of 463,1726 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 799138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/799138

Therefore, the GCF of Fractions 2081/463,8575/1726 is 1/799138

Least Common Multiple of 463,1726 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 463,1726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,1726) = 1

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

GCF(463,1726) x common factors =1 x 1 = 1

LCM(463,1726) = ( 463 × 1726 ) / 1

LCM(463,1726) = 799138 / 1

LCM(463,1726) = 799138

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FAQs on GCF of Fractions of 2081/463, 8575/1726

1. What is the HCF of 2081,8575?

The HCF of 2081,8575 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 2081/463, 8575/1726?

Answer: GCF of Numerators as per given numbers 2081/463, 8575/1726 is

GCF of Numerators i.e. for 2081,8575 is 1

LCM of denominators i.e. for 463,1726 is 799138.

Thus, GCF of Fractions is 1/799138.Finally, GCF of Fractions for 2081/463, 8575/1726 is 1/799138.