How to Find GCF of 2042/569, 1993/3189?

GCF of 2042/569, 1993/3189

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 2042/569, 1993/3189 i.e 1/1814541 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2042/569, 1993/3189.

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 2042/569,1993/3189?

Given fractions are 2042/569,1993/3189

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 2042/569,1993/3189, numerators are 2042,1993

Denominators are 569,3189

The GCF of 2042,1993 is 1 .

LCM of 569,3189 is 1814541.

The greatest common factor of 2042/569,1993/3189 = [GCF of 2042,1993]/[LCM of 569,3189]= 1/1814541

Therefore, the GCF of 2042/569,1993/3189 is 1/1814541.

Greatest Common Factor of 2042,1993

To find the highest common factor of 2042,1993, we have to find the factors of both numbers and list the highest common factor.

The factors of 2042 are 1, 2, 1021, 2042

The factors of 1993 are 1, 1993

The HCF of 2042,1993 is 1.

Lets's calculate GCF of 2042,1993

Greatest Common Factor (GCF) of 2042,1993 By Common Division

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

Greatest Common Factor of 2042,1993 By Matching Biggest Common Factor Method

Now, list down the factors of 2042

1,2,1021,2042

Now, list down the factors of 1993

1,1993

Greatest Common Factor

We found the factors 2042,1993 . The biggest common factor number is the GCF number.
So the greatest common factor 2042,1993 is 1.

Lets's calculate LCM of 569,3189

Lowest Common Multiple of 569,3189 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1814541

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1814541

Therefore, the GCF of Fractions 2042/569,1993/3189 is 1/1814541

Least Common Multiple of 569,3189 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 569,3189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,3189) = 1

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

GCF(569,3189) x common factors =1 x 1 = 1

LCM(569,3189) = ( 569 × 3189 ) / 1

LCM(569,3189) = 1814541 / 1

LCM(569,3189) = 1814541

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2042/569, 1993/3189

1. What is the HCF of 2042,1993?

The HCF of 2042,1993 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 2042/569, 1993/3189?

Answer: GCF of Numerators as per given numbers 2042/569, 1993/3189 is

GCF of Numerators i.e. for 2042,1993 is 1

LCM of denominators i.e. for 569,3189 is 1814541.

Thus, GCF of Fractions is 1/1814541.Finally, GCF of Fractions for 2042/569, 1993/3189 is 1/1814541.