How to Find GCF of 8030/300, 5001/8020?

GCF of 8030/300, 5001/8020

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 8030/300, 5001/8020 i.e 1/120300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8030/300, 5001/8020.

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 8030/300,5001/8020?

Given fractions are 8030/300,5001/8020

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 8030/300,5001/8020, numerators are 8030,5001

Denominators are 300,8020

The GCF of 8030,5001 is 1 .

LCM of 300,8020 is 120300.

The greatest common factor of 8030/300,5001/8020 = [GCF of 8030,5001]/[LCM of 300,8020]= 1/120300

Therefore, the GCF of 8030/300,5001/8020 is 1/120300.

Greatest Common Factor of 8030,5001

To find the highest common factor of 8030,5001, we have to find the factors of both numbers and list the highest common factor.

The factors of 8030 are 1, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030

The factors of 5001 are 1, 3, 1667, 5001

The HCF of 8030,5001 is 1.

Lets's calculate GCF of 8030,5001

Greatest Common Factor (GCF) of 8030,5001 By Common Division

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

Greatest Common Factor of 8030,5001 By Matching Biggest Common Factor Method

Now, list down the factors of 8030

1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030

Now, list down the factors of 5001

1,3,1667,5001

Greatest Common Factor

We found the factors 8030,5001 . The biggest common factor number is the GCF number.
So the greatest common factor 8030,5001 is 1.

Lets's calculate LCM of 300,8020

Lowest Common Multiple of 300,8020 using Common Division

2	300, 8020
2	150, 4010
5	75, 2005
	15, 401

∴ So the LCM of the given numbers is 2 x 2 x 5 x 15 x 401 = 120300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120300

Therefore, the GCF of Fractions 8030/300,5001/8020 is 1/120300

Least Common Multiple of 300,8020 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 300,8020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,8020) = 20

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

GCF(300,8020) x common factors =20 x 1 = 20

LCM(300,8020) = ( 300 × 8020 ) / 20

LCM(300,8020) = 2406000 / 20

LCM(300,8020) = 120300

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FAQs on GCF of Fractions of 8030/300, 5001/8020

1. What is the HCF of 8030,5001?

The HCF of 8030,5001 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 8030/300, 5001/8020?

Answer: GCF of Numerators as per given numbers 8030/300, 5001/8020 is

GCF of Numerators i.e. for 8030,5001 is 1

LCM of denominators i.e. for 300,8020 is 120300.

Thus, GCF of Fractions is 1/120300.Finally, GCF of Fractions for 8030/300, 5001/8020 is 1/120300.