How to Find GCF of 2069/559, 8845/8346?

GCF of 2069/559, 8845/8346

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 2069/559, 8845/8346 i.e 1/358878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2069/559, 8845/8346.

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 2069/559,8845/8346?

Given fractions are 2069/559,8845/8346

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 2069/559,8845/8346, numerators are 2069,8845

Denominators are 559,8346

The GCF of 2069,8845 is 1 .

LCM of 559,8346 is 358878.

The greatest common factor of 2069/559,8845/8346 = [GCF of 2069,8845]/[LCM of 559,8346]= 1/358878

Therefore, the GCF of 2069/559,8845/8346 is 1/358878.

Greatest Common Factor of 2069,8845

To find the highest common factor of 2069,8845, we have to find the factors of both numbers and list the highest common factor.

The factors of 2069 are 1, 2069

The factors of 8845 are 1, 5, 29, 61, 145, 305, 1769, 8845

The HCF of 2069,8845 is 1.

Lets's calculate GCF of 2069,8845

Greatest Common Factor (GCF) of 2069,8845 By Common Division

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

Greatest Common Factor of 2069,8845 By Matching Biggest Common Factor Method

Now, list down the factors of 2069

1,2069

Now, list down the factors of 8845

1,5,29,61,145,305,1769,8845

Greatest Common Factor

We found the factors 2069,8845 . The biggest common factor number is the GCF number.
So the greatest common factor 2069,8845 is 1.

Lets's calculate LCM of 559,8346

Lowest Common Multiple of 559,8346 using Common Division

13	559, 8346
	43, 642

∴ So the LCM of the given numbers is 13 x 43 x 642 = 358878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358878

Therefore, the GCF of Fractions 2069/559,8845/8346 is 1/358878

Least Common Multiple of 559,8346 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 559,8346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,8346) = 13

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

GCF(559,8346) x common factors =13 x 1 = 13

LCM(559,8346) = ( 559 × 8346 ) / 13

LCM(559,8346) = 4665414 / 13

LCM(559,8346) = 358878

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FAQs on GCF of Fractions of 2069/559, 8845/8346

1. What is the HCF of 2069,8845?

The HCF of 2069,8845 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 2069/559, 8845/8346?

Answer: GCF of Numerators as per given numbers 2069/559, 8845/8346 is

GCF of Numerators i.e. for 2069,8845 is 1

LCM of denominators i.e. for 559,8346 is 358878.

Thus, GCF of Fractions is 1/358878.Finally, GCF of Fractions for 2069/559, 8845/8346 is 1/358878.