How to Find GCF of 2281/884, 8200/3892?

GCF of 2281/884, 8200/3892

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 2281/884, 8200/3892 i.e 1/860132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2281/884, 8200/3892.

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 2281/884,8200/3892?

Given fractions are 2281/884,8200/3892

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 2281/884,8200/3892, numerators are 2281,8200

Denominators are 884,3892

The GCF of 2281,8200 is 1 .

LCM of 884,3892 is 860132.

The greatest common factor of 2281/884,8200/3892 = [GCF of 2281,8200]/[LCM of 884,3892]= 1/860132

Therefore, the GCF of 2281/884,8200/3892 is 1/860132.

Greatest Common Factor of 2281,8200

To find the highest common factor of 2281,8200, we have to find the factors of both numbers and list the highest common factor.

The factors of 2281 are 1, 2281

The factors of 8200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200

The HCF of 2281,8200 is 1.

Lets's calculate GCF of 2281,8200

Greatest Common Factor (GCF) of 2281,8200 By Common Division

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

Greatest Common Factor of 2281,8200 By Matching Biggest Common Factor Method

Now, list down the factors of 2281

1,2281

Now, list down the factors of 8200

1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200

Greatest Common Factor

We found the factors 2281,8200 . The biggest common factor number is the GCF number.
So the greatest common factor 2281,8200 is 1.

Lets's calculate LCM of 884,3892

Lowest Common Multiple of 884,3892 using Common Division

2	884, 3892
2	442, 1946
	221, 973

∴ So the LCM of the given numbers is 2 x 2 x 221 x 973 = 860132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/860132

Therefore, the GCF of Fractions 2281/884,8200/3892 is 1/860132

Least Common Multiple of 884,3892 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 884,3892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,3892) = 4

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

GCF(884,3892) x common factors =4 x 1 = 4

LCM(884,3892) = ( 884 × 3892 ) / 4

LCM(884,3892) = 3440528 / 4

LCM(884,3892) = 860132

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2281/884, 8200/3892

1. What is the HCF of 2281,8200?

The HCF of 2281,8200 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 2281/884, 8200/3892?

Answer: GCF of Numerators as per given numbers 2281/884, 8200/3892 is

GCF of Numerators i.e. for 2281,8200 is 1

LCM of denominators i.e. for 884,3892 is 860132.

Thus, GCF of Fractions is 1/860132.Finally, GCF of Fractions for 2281/884, 8200/3892 is 1/860132.