How to Find GCF of 2144/575, 3321/3539?

GCF of 2144/575, 3321/3539

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 2144/575, 3321/3539 i.e 1/2034925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2144/575, 3321/3539.

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 2144/575,3321/3539?

Given fractions are 2144/575,3321/3539

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 2144/575,3321/3539, numerators are 2144,3321

Denominators are 575,3539

The GCF of 2144,3321 is 1 .

LCM of 575,3539 is 2034925.

The greatest common factor of 2144/575,3321/3539 = [GCF of 2144,3321]/[LCM of 575,3539]= 1/2034925

Therefore, the GCF of 2144/575,3321/3539 is 1/2034925.

Greatest Common Factor of 2144,3321

To find the highest common factor of 2144,3321, we have to find the factors of both numbers and list the highest common factor.

The factors of 2144 are 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144

The factors of 3321 are 1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321

The HCF of 2144,3321 is 1.

Lets's calculate GCF of 2144,3321

Greatest Common Factor (GCF) of 2144,3321 By Common Division

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

Greatest Common Factor of 2144,3321 By Matching Biggest Common Factor Method

Now, list down the factors of 2144

1,2,4,8,16,32,67,134,268,536,1072,2144

Now, list down the factors of 3321

1,3,9,27,41,81,123,369,1107,3321

Greatest Common Factor

We found the factors 2144,3321 . The biggest common factor number is the GCF number.
So the greatest common factor 2144,3321 is 1.

Lets's calculate LCM of 575,3539

Lowest Common Multiple of 575,3539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2034925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2034925

Therefore, the GCF of Fractions 2144/575,3321/3539 is 1/2034925

Least Common Multiple of 575,3539 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 575,3539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,3539) = 1

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

GCF(575,3539) x common factors =1 x 1 = 1

LCM(575,3539) = ( 575 × 3539 ) / 1

LCM(575,3539) = 2034925 / 1

LCM(575,3539) = 2034925

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FAQs on GCF of Fractions of 2144/575, 3321/3539

1. What is the HCF of 2144,3321?

The HCF of 2144,3321 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 2144/575, 3321/3539?

Answer: GCF of Numerators as per given numbers 2144/575, 3321/3539 is

GCF of Numerators i.e. for 2144,3321 is 1

LCM of denominators i.e. for 575,3539 is 2034925.

Thus, GCF of Fractions is 1/2034925.Finally, GCF of Fractions for 2144/575, 3321/3539 is 1/2034925.