How to Find GCF of 6555/504, 8041/820?

GCF of 6555/504, 8041/820

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 6555/504, 8041/820 i.e 1/103320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6555/504, 8041/820.

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 6555/504,8041/820?

Given fractions are 6555/504,8041/820

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 6555/504,8041/820, numerators are 6555,8041

Denominators are 504,820

The GCF of 6555,8041 is 1 .

LCM of 504,820 is 103320.

The greatest common factor of 6555/504,8041/820 = [GCF of 6555,8041]/[LCM of 504,820]= 1/103320

Therefore, the GCF of 6555/504,8041/820 is 1/103320.

Greatest Common Factor of 6555,8041

To find the highest common factor of 6555,8041, we have to find the factors of both numbers and list the highest common factor.

The factors of 6555 are 1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555

The factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041

The HCF of 6555,8041 is 1.

Lets's calculate GCF of 6555,8041

Greatest Common Factor (GCF) of 6555,8041 By Common Division

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

Greatest Common Factor of 6555,8041 By Matching Biggest Common Factor Method

Now, list down the factors of 6555

1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555

Now, list down the factors of 8041

1,11,17,43,187,473,731,8041

Greatest Common Factor

We found the factors 6555,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 6555,8041 is 1.

Lets's calculate LCM of 504,820

Lowest Common Multiple of 504,820 using Common Division

2	504, 820
2	252, 410
	126, 205

∴ So the LCM of the given numbers is 2 x 2 x 126 x 205 = 103320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103320

Therefore, the GCF of Fractions 6555/504,8041/820 is 1/103320

Least Common Multiple of 504,820 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 504,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,820) = 4

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

GCF(504,820) x common factors =4 x 1 = 4

LCM(504,820) = ( 504 × 820 ) / 4

LCM(504,820) = 413280 / 4

LCM(504,820) = 103320

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FAQs on GCF of Fractions of 6555/504, 8041/820

1. What is the HCF of 6555,8041?

The HCF of 6555,8041 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 6555/504, 8041/820?

Answer: GCF of Numerators as per given numbers 6555/504, 8041/820 is

GCF of Numerators i.e. for 6555,8041 is 1

LCM of denominators i.e. for 504,820 is 103320.

Thus, GCF of Fractions is 1/103320.Finally, GCF of Fractions for 6555/504, 8041/820 is 1/103320.