How to Find GCF of 410/501, 4223/539?

GCF of 410/501, 4223/539

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 410/501, 4223/539 i.e 41/270039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/501, 4223/539.

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 410/501,4223/539?

Given fractions are 410/501,4223/539

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 410/501,4223/539, numerators are 410,4223

Denominators are 501,539

The GCF of 410,4223 is 41 .

LCM of 501,539 is 270039.

The greatest common factor of 410/501,4223/539 = [GCF of 410,4223]/[LCM of 501,539]= 41/270039

Therefore, the GCF of 410/501,4223/539 is 41/270039.

Greatest Common Factor of 410,4223

To find the highest common factor of 410,4223, we have to find the factors of both numbers and list the highest common factor.

The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410

The factors of 4223 are 1, 41, 103, 4223

The HCF of 410,4223 is 41.

Lets's calculate GCF of 410,4223

Greatest Common Factor (GCF) of 410,4223 By Common Division

41	410, 4223
	10, 103

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 410,4223 By Matching Biggest Common Factor Method

Now, list down the factors of 410

1,2,5,10,41,82,205,410

Now, list down the factors of 4223

1,41,103,4223

Greatest Common Factor

We found the factors 410,4223 . The biggest common factor number is the GCF number.
So the greatest common factor 410,4223 is 41.

Lets's calculate LCM of 501,539

Lowest Common Multiple of 501,539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 270039

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/270039

Therefore, the GCF of Fractions 410/501,4223/539 is 41/270039

Least Common Multiple of 501,539 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 501,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,539) = 1

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

GCF(501,539) x common factors =1 x 1 = 1

LCM(501,539) = ( 501 × 539 ) / 1

LCM(501,539) = 270039 / 1

LCM(501,539) = 270039

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FAQs on GCF of Fractions of 410/501, 4223/539

1. What is the HCF of 410,4223?

The HCF of 410,4223 is 41

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 410/501, 4223/539?

Answer: GCF of Numerators as per given numbers 410/501, 4223/539 is

GCF of Numerators i.e. for 410,4223 is 41

LCM of denominators i.e. for 501,539 is 270039.

Thus, GCF of Fractions is 41/270039.Finally, GCF of Fractions for 410/501, 4223/539 is 41/270039.