How to Find GCF of 3221/404, 8677/804?

GCF of 3221/404, 8677/804

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 3221/404, 8677/804 i.e 1/81204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3221/404, 8677/804.

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 3221/404,8677/804?

Given fractions are 3221/404,8677/804

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 3221/404,8677/804, numerators are 3221,8677

Denominators are 404,804

The GCF of 3221,8677 is 1 .

LCM of 404,804 is 81204.

The greatest common factor of 3221/404,8677/804 = [GCF of 3221,8677]/[LCM of 404,804]= 1/81204

Therefore, the GCF of 3221/404,8677/804 is 1/81204.

Greatest Common Factor of 3221,8677

To find the highest common factor of 3221,8677, we have to find the factors of both numbers and list the highest common factor.

The factors of 3221 are 1, 3221

The factors of 8677 are 1, 8677

The HCF of 3221,8677 is 1.

Lets's calculate GCF of 3221,8677

Greatest Common Factor (GCF) of 3221,8677 By Common Division

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

Greatest Common Factor of 3221,8677 By Matching Biggest Common Factor Method

Now, list down the factors of 3221

1,3221

Now, list down the factors of 8677

1,8677

Greatest Common Factor

We found the factors 3221,8677 . The biggest common factor number is the GCF number.
So the greatest common factor 3221,8677 is 1.

Lets's calculate LCM of 404,804

Lowest Common Multiple of 404,804 using Common Division

2	404, 804
2	202, 402
	101, 201

∴ So the LCM of the given numbers is 2 x 2 x 101 x 201 = 81204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81204

Therefore, the GCF of Fractions 3221/404,8677/804 is 1/81204

Least Common Multiple of 404,804 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 404,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,804) = 4

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

GCF(404,804) x common factors =4 x 1 = 4

LCM(404,804) = ( 404 × 804 ) / 4

LCM(404,804) = 324816 / 4

LCM(404,804) = 81204

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FAQs on GCF of Fractions of 3221/404, 8677/804

1. What is the HCF of 3221,8677?

The HCF of 3221,8677 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 3221/404, 8677/804?

Answer: GCF of Numerators as per given numbers 3221/404, 8677/804 is

GCF of Numerators i.e. for 3221,8677 is 1

LCM of denominators i.e. for 404,804 is 81204.

Thus, GCF of Fractions is 1/81204.Finally, GCF of Fractions for 3221/404, 8677/804 is 1/81204.