How to Find GCF of 8569/736, 4519/8592?

GCF of 8569/736, 4519/8592

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 8569/736, 4519/8592 i.e 1/395232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8569/736, 4519/8592.

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 8569/736,4519/8592?

Given fractions are 8569/736,4519/8592

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 8569/736,4519/8592, numerators are 8569,4519

Denominators are 736,8592

The GCF of 8569,4519 is 1 .

LCM of 736,8592 is 395232.

The greatest common factor of 8569/736,4519/8592 = [GCF of 8569,4519]/[LCM of 736,8592]= 1/395232

Therefore, the GCF of 8569/736,4519/8592 is 1/395232.

Greatest Common Factor of 8569,4519

To find the highest common factor of 8569,4519, we have to find the factors of both numbers and list the highest common factor.

The factors of 8569 are 1, 11, 19, 41, 209, 451, 779, 8569

The factors of 4519 are 1, 4519

The HCF of 8569,4519 is 1.

Lets's calculate GCF of 8569,4519

Greatest Common Factor (GCF) of 8569,4519 By Common Division

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

Greatest Common Factor of 8569,4519 By Matching Biggest Common Factor Method

Now, list down the factors of 8569

1,11,19,41,209,451,779,8569

Now, list down the factors of 4519

1,4519

Greatest Common Factor

We found the factors 8569,4519 . The biggest common factor number is the GCF number.
So the greatest common factor 8569,4519 is 1.

Lets's calculate LCM of 736,8592

Lowest Common Multiple of 736,8592 using Common Division

2	736, 8592
2	368, 4296
2	184, 2148
2	92, 1074
	46, 537

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 46 x 537 = 395232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/395232

Therefore, the GCF of Fractions 8569/736,4519/8592 is 1/395232

Least Common Multiple of 736,8592 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 736,8592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,8592) = 16

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

GCF(736,8592) x common factors =16 x 1 = 16

LCM(736,8592) = ( 736 × 8592 ) / 16

LCM(736,8592) = 6323712 / 16

LCM(736,8592) = 395232

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FAQs on GCF of Fractions of 8569/736, 4519/8592

1. What is the HCF of 8569,4519?

The HCF of 8569,4519 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 8569/736, 4519/8592?

Answer: GCF of Numerators as per given numbers 8569/736, 4519/8592 is

GCF of Numerators i.e. for 8569,4519 is 1

LCM of denominators i.e. for 736,8592 is 395232.

Thus, GCF of Fractions is 1/395232.Finally, GCF of Fractions for 8569/736, 4519/8592 is 1/395232.