How to Find GCF of 2569/290, 3313/1687?

GCF of 2569/290, 3313/1687

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 2569/290, 3313/1687 i.e 1/489230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2569/290, 3313/1687.

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 2569/290,3313/1687?

Given fractions are 2569/290,3313/1687

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 2569/290,3313/1687, numerators are 2569,3313

Denominators are 290,1687

The GCF of 2569,3313 is 1 .

LCM of 290,1687 is 489230.

The greatest common factor of 2569/290,3313/1687 = [GCF of 2569,3313]/[LCM of 290,1687]= 1/489230

Therefore, the GCF of 2569/290,3313/1687 is 1/489230.

Greatest Common Factor of 2569,3313

To find the highest common factor of 2569,3313, we have to find the factors of both numbers and list the highest common factor.

The factors of 2569 are 1, 7, 367, 2569

The factors of 3313 are 1, 3313

The HCF of 2569,3313 is 1.

Lets's calculate GCF of 2569,3313

Greatest Common Factor (GCF) of 2569,3313 By Common Division

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

Greatest Common Factor of 2569,3313 By Matching Biggest Common Factor Method

Now, list down the factors of 2569

1,7,367,2569

Now, list down the factors of 3313

1,3313

Greatest Common Factor

We found the factors 2569,3313 . The biggest common factor number is the GCF number.
So the greatest common factor 2569,3313 is 1.

Lets's calculate LCM of 290,1687

Lowest Common Multiple of 290,1687 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 489230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/489230

Therefore, the GCF of Fractions 2569/290,3313/1687 is 1/489230

Least Common Multiple of 290,1687 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 290,1687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,1687) = 1

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

GCF(290,1687) x common factors =1 x 1 = 1

LCM(290,1687) = ( 290 × 1687 ) / 1

LCM(290,1687) = 489230 / 1

LCM(290,1687) = 489230

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FAQs on GCF of Fractions of 2569/290, 3313/1687

1. What is the HCF of 2569,3313?

The HCF of 2569,3313 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 2569/290, 3313/1687?

Answer: GCF of Numerators as per given numbers 2569/290, 3313/1687 is

GCF of Numerators i.e. for 2569,3313 is 1

LCM of denominators i.e. for 290,1687 is 489230.

Thus, GCF of Fractions is 1/489230.Finally, GCF of Fractions for 2569/290, 3313/1687 is 1/489230.