How to Find GCF of 2082/311, 8823/3754?

GCF of 2082/311, 8823/3754

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 2082/311, 8823/3754 i.e 3/1167494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2082/311, 8823/3754.

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 2082/311,8823/3754?

Given fractions are 2082/311,8823/3754

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 2082/311,8823/3754, numerators are 2082,8823

Denominators are 311,3754

The GCF of 2082,8823 is 3 .

LCM of 311,3754 is 1167494.

The greatest common factor of 2082/311,8823/3754 = [GCF of 2082,8823]/[LCM of 311,3754]= 3/1167494

Therefore, the GCF of 2082/311,8823/3754 is 3/1167494.

Greatest Common Factor of 2082,8823

To find the highest common factor of 2082,8823, we have to find the factors of both numbers and list the highest common factor.

The factors of 2082 are 1, 2, 3, 6, 347, 694, 1041, 2082

The factors of 8823 are 1, 3, 17, 51, 173, 519, 2941, 8823

The HCF of 2082,8823 is 3.

Lets's calculate GCF of 2082,8823

Greatest Common Factor (GCF) of 2082,8823 By Common Division

3	2082, 8823
	694, 2941

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2082,8823 By Matching Biggest Common Factor Method

Now, list down the factors of 2082

1,2,3,6,347,694,1041,2082

Now, list down the factors of 8823

1,3,17,51,173,519,2941,8823

Greatest Common Factor

We found the factors 2082,8823 . The biggest common factor number is the GCF number.
So the greatest common factor 2082,8823 is 3.

Lets's calculate LCM of 311,3754

Lowest Common Multiple of 311,3754 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1167494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1167494

Therefore, the GCF of Fractions 2082/311,8823/3754 is 3/1167494

Least Common Multiple of 311,3754 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 311,3754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,3754) = 1

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

GCF(311,3754) x common factors =1 x 1 = 1

LCM(311,3754) = ( 311 × 3754 ) / 1

LCM(311,3754) = 1167494 / 1

LCM(311,3754) = 1167494

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2082/311, 8823/3754

1. What is the HCF of 2082,8823?

The HCF of 2082,8823 is 3

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 2082/311, 8823/3754?

Answer: GCF of Numerators as per given numbers 2082/311, 8823/3754 is

GCF of Numerators i.e. for 2082,8823 is 3

LCM of denominators i.e. for 311,3754 is 1167494.

Thus, GCF of Fractions is 3/1167494.Finally, GCF of Fractions for 2082/311, 8823/3754 is 3/1167494.