How to Find GCF of 3553/801, 4511/2809?

GCF of 3553/801, 4511/2809

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 3553/801, 4511/2809 i.e 1/2250009 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3553/801, 4511/2809.

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 3553/801,4511/2809?

Given fractions are 3553/801,4511/2809

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 3553/801,4511/2809, numerators are 3553,4511

Denominators are 801,2809

The GCF of 3553,4511 is 1 .

LCM of 801,2809 is 2250009.

The greatest common factor of 3553/801,4511/2809 = [GCF of 3553,4511]/[LCM of 801,2809]= 1/2250009

Therefore, the GCF of 3553/801,4511/2809 is 1/2250009.

Greatest Common Factor of 3553,4511

To find the highest common factor of 3553,4511, we have to find the factors of both numbers and list the highest common factor.

The factors of 3553 are 1, 11, 17, 19, 187, 209, 323, 3553

The factors of 4511 are 1, 13, 347, 4511

The HCF of 3553,4511 is 1.

Lets's calculate GCF of 3553,4511

Greatest Common Factor (GCF) of 3553,4511 By Common Division

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

Greatest Common Factor of 3553,4511 By Matching Biggest Common Factor Method

Now, list down the factors of 3553

1,11,17,19,187,209,323,3553

Now, list down the factors of 4511

1,13,347,4511

Greatest Common Factor

We found the factors 3553,4511 . The biggest common factor number is the GCF number.
So the greatest common factor 3553,4511 is 1.

Lets's calculate LCM of 801,2809

Lowest Common Multiple of 801,2809 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2250009

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2250009

Therefore, the GCF of Fractions 3553/801,4511/2809 is 1/2250009

Least Common Multiple of 801,2809 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 801,2809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(801,2809) = 1

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

GCF(801,2809) x common factors =1 x 1 = 1

LCM(801,2809) = ( 801 × 2809 ) / 1

LCM(801,2809) = 2250009 / 1

LCM(801,2809) = 2250009

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3553/801, 4511/2809

1. What is the HCF of 3553,4511?

The HCF of 3553,4511 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 3553/801, 4511/2809?

Answer: GCF of Numerators as per given numbers 3553/801, 4511/2809 is

GCF of Numerators i.e. for 3553,4511 is 1

LCM of denominators i.e. for 801,2809 is 2250009.

Thus, GCF of Fractions is 1/2250009.Finally, GCF of Fractions for 3553/801, 4511/2809 is 1/2250009.