How to Find GCF of 2585/483, 3733/5569?

GCF of 2585/483, 3733/5569

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 2585/483, 3733/5569 i.e 1/2689827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2585/483, 3733/5569.

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 2585/483,3733/5569?

Given fractions are 2585/483,3733/5569

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 2585/483,3733/5569, numerators are 2585,3733

Denominators are 483,5569

The GCF of 2585,3733 is 1 .

LCM of 483,5569 is 2689827.

The greatest common factor of 2585/483,3733/5569 = [GCF of 2585,3733]/[LCM of 483,5569]= 1/2689827

Therefore, the GCF of 2585/483,3733/5569 is 1/2689827.

Greatest Common Factor of 2585,3733

To find the highest common factor of 2585,3733, we have to find the factors of both numbers and list the highest common factor.

The factors of 2585 are 1, 5, 11, 47, 55, 235, 517, 2585

The factors of 3733 are 1, 3733

The HCF of 2585,3733 is 1.

Lets's calculate GCF of 2585,3733

Greatest Common Factor (GCF) of 2585,3733 By Common Division

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

Greatest Common Factor of 2585,3733 By Matching Biggest Common Factor Method

Now, list down the factors of 2585

1,5,11,47,55,235,517,2585

Now, list down the factors of 3733

1,3733

Greatest Common Factor

We found the factors 2585,3733 . The biggest common factor number is the GCF number.
So the greatest common factor 2585,3733 is 1.

Lets's calculate LCM of 483,5569

Lowest Common Multiple of 483,5569 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2689827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2689827

Therefore, the GCF of Fractions 2585/483,3733/5569 is 1/2689827

Least Common Multiple of 483,5569 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 483,5569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,5569) = 1

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

GCF(483,5569) x common factors =1 x 1 = 1

LCM(483,5569) = ( 483 × 5569 ) / 1

LCM(483,5569) = 2689827 / 1

LCM(483,5569) = 2689827

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FAQs on GCF of Fractions of 2585/483, 3733/5569

1. What is the HCF of 2585,3733?

The HCF of 2585,3733 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 2585/483, 3733/5569?

Answer: GCF of Numerators as per given numbers 2585/483, 3733/5569 is

GCF of Numerators i.e. for 2585,3733 is 1

LCM of denominators i.e. for 483,5569 is 2689827.

Thus, GCF of Fractions is 1/2689827.Finally, GCF of Fractions for 2585/483, 3733/5569 is 1/2689827.