How to Find GCF of 5562/309, 2828/9184?

GCF of 5562/309, 2828/9184

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 5562/309, 2828/9184 i.e 2/2837856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5562/309, 2828/9184.

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 5562/309,2828/9184?

Given fractions are 5562/309,2828/9184

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 5562/309,2828/9184, numerators are 5562,2828

Denominators are 309,9184

The GCF of 5562,2828 is 2 .

LCM of 309,9184 is 2837856.

The greatest common factor of 5562/309,2828/9184 = [GCF of 5562,2828]/[LCM of 309,9184]= 2/2837856

Therefore, the GCF of 5562/309,2828/9184 is 2/2837856.

Greatest Common Factor of 5562,2828

To find the highest common factor of 5562,2828, we have to find the factors of both numbers and list the highest common factor.

The factors of 5562 are 1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562

The factors of 2828 are 1, 2, 4, 7, 14, 28, 101, 202, 404, 707, 1414, 2828

The HCF of 5562,2828 is 2.

Lets's calculate GCF of 5562,2828

Greatest Common Factor (GCF) of 5562,2828 By Common Division

2	5562, 2828
	2781, 1414

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

Greatest Common Factor of 5562,2828 By Matching Biggest Common Factor Method

Now, list down the factors of 5562

1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562

Now, list down the factors of 2828

1,2,4,7,14,28,101,202,404,707,1414,2828

Greatest Common Factor

We found the factors 5562,2828 . The biggest common factor number is the GCF number.
So the greatest common factor 5562,2828 is 2.

Lets's calculate LCM of 309,9184

Lowest Common Multiple of 309,9184 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2837856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2837856

Therefore, the GCF of Fractions 5562/309,2828/9184 is 2/2837856

Least Common Multiple of 309,9184 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 309,9184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,9184) = 1

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

GCF(309,9184) x common factors =1 x 1 = 1

LCM(309,9184) = ( 309 × 9184 ) / 1

LCM(309,9184) = 2837856 / 1

LCM(309,9184) = 2837856

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5562/309, 2828/9184

1. What is the HCF of 5562,2828?

The HCF of 5562,2828 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 5562/309, 2828/9184?

Answer: GCF of Numerators as per given numbers 5562/309, 2828/9184 is

GCF of Numerators i.e. for 5562,2828 is 2

LCM of denominators i.e. for 309,9184 is 2837856.

Thus, GCF of Fractions is 2/2837856.Finally, GCF of Fractions for 5562/309, 2828/9184 is 2/2837856.