How to Find GCF of 6043/569, 3463/3589?

GCF of 6043/569, 3463/3589

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 6043/569, 3463/3589 i.e 1/2042141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6043/569, 3463/3589.

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 6043/569,3463/3589?

Given fractions are 6043/569,3463/3589

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 6043/569,3463/3589, numerators are 6043,3463

Denominators are 569,3589

The GCF of 6043,3463 is 1 .

LCM of 569,3589 is 2042141.

The greatest common factor of 6043/569,3463/3589 = [GCF of 6043,3463]/[LCM of 569,3589]= 1/2042141

Therefore, the GCF of 6043/569,3463/3589 is 1/2042141.

Greatest Common Factor of 6043,3463

To find the highest common factor of 6043,3463, we have to find the factors of both numbers and list the highest common factor.

The factors of 6043 are 1, 6043

The factors of 3463 are 1, 3463

The HCF of 6043,3463 is 1.

Lets's calculate GCF of 6043,3463

Greatest Common Factor (GCF) of 6043,3463 By Common Division

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

Greatest Common Factor of 6043,3463 By Matching Biggest Common Factor Method

Now, list down the factors of 6043

1,6043

Now, list down the factors of 3463

1,3463

Greatest Common Factor

We found the factors 6043,3463 . The biggest common factor number is the GCF number.
So the greatest common factor 6043,3463 is 1.

Lets's calculate LCM of 569,3589

Lowest Common Multiple of 569,3589 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2042141

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2042141

Therefore, the GCF of Fractions 6043/569,3463/3589 is 1/2042141

Least Common Multiple of 569,3589 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 569,3589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,3589) = 1

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

GCF(569,3589) x common factors =1 x 1 = 1

LCM(569,3589) = ( 569 × 3589 ) / 1

LCM(569,3589) = 2042141 / 1

LCM(569,3589) = 2042141

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FAQs on GCF of Fractions of 6043/569, 3463/3589

1. What is the HCF of 6043,3463?

The HCF of 6043,3463 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 6043/569, 3463/3589?

Answer: GCF of Numerators as per given numbers 6043/569, 3463/3589 is

GCF of Numerators i.e. for 6043,3463 is 1

LCM of denominators i.e. for 569,3589 is 2042141.

Thus, GCF of Fractions is 1/2042141.Finally, GCF of Fractions for 6043/569, 3463/3589 is 1/2042141.