How to Find GCF of 8042/499, 6024/4929?

GCF of 8042/499, 6024/4929

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 8042/499, 6024/4929 i.e 2/2459571 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8042/499, 6024/4929.

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 8042/499,6024/4929?

Given fractions are 8042/499,6024/4929

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 8042/499,6024/4929, numerators are 8042,6024

Denominators are 499,4929

The GCF of 8042,6024 is 2 .

LCM of 499,4929 is 2459571.

The greatest common factor of 8042/499,6024/4929 = [GCF of 8042,6024]/[LCM of 499,4929]= 2/2459571

Therefore, the GCF of 8042/499,6024/4929 is 2/2459571.

Greatest Common Factor of 8042,6024

To find the highest common factor of 8042,6024, we have to find the factors of both numbers and list the highest common factor.

The factors of 8042 are 1, 2, 4021, 8042

The factors of 6024 are 1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024

The HCF of 8042,6024 is 2.

Lets's calculate GCF of 8042,6024

Greatest Common Factor (GCF) of 8042,6024 By Common Division

2	8042, 6024
	4021, 3012

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8042,6024 By Matching Biggest Common Factor Method

Now, list down the factors of 8042

1,2,4021,8042

Now, list down the factors of 6024

1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024

Greatest Common Factor

We found the factors 8042,6024 . The biggest common factor number is the GCF number.
So the greatest common factor 8042,6024 is 2.

Lets's calculate LCM of 499,4929

Lowest Common Multiple of 499,4929 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2459571

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2459571

Therefore, the GCF of Fractions 8042/499,6024/4929 is 2/2459571

Least Common Multiple of 499,4929 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 499,4929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,4929) = 1

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

GCF(499,4929) x common factors =1 x 1 = 1

LCM(499,4929) = ( 499 × 4929 ) / 1

LCM(499,4929) = 2459571 / 1

LCM(499,4929) = 2459571

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FAQs on GCF of Fractions of 8042/499, 6024/4929

1. What is the HCF of 8042,6024?

The HCF of 8042,6024 is 2

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 8042/499, 6024/4929?

Answer: GCF of Numerators as per given numbers 8042/499, 6024/4929 is

GCF of Numerators i.e. for 8042,6024 is 2

LCM of denominators i.e. for 499,4929 is 2459571.

Thus, GCF of Fractions is 2/2459571.Finally, GCF of Fractions for 8042/499, 6024/4929 is 2/2459571.