How to Find GCF of 6605/653, 6533/165?

GCF of 6605/653, 6533/165

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 6605/653, 6533/165 i.e 1/107745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6605/653, 6533/165.

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 6605/653,6533/165?

Given fractions are 6605/653,6533/165

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 6605/653,6533/165, numerators are 6605,6533

Denominators are 653,165

The GCF of 6605,6533 is 1 .

LCM of 653,165 is 107745.

The greatest common factor of 6605/653,6533/165 = [GCF of 6605,6533]/[LCM of 653,165]= 1/107745

Therefore, the GCF of 6605/653,6533/165 is 1/107745.

Greatest Common Factor of 6605,6533

To find the highest common factor of 6605,6533, we have to find the factors of both numbers and list the highest common factor.

The factors of 6605 are 1, 5, 1321, 6605

The factors of 6533 are 1, 47, 139, 6533

The HCF of 6605,6533 is 1.

Lets's calculate GCF of 6605,6533

Greatest Common Factor (GCF) of 6605,6533 By Common Division

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

Greatest Common Factor of 6605,6533 By Matching Biggest Common Factor Method

Now, list down the factors of 6605

1,5,1321,6605

Now, list down the factors of 6533

1,47,139,6533

Greatest Common Factor

We found the factors 6605,6533 . The biggest common factor number is the GCF number.
So the greatest common factor 6605,6533 is 1.

Lets's calculate LCM of 653,165

Lowest Common Multiple of 653,165 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 107745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107745

Therefore, the GCF of Fractions 6605/653,6533/165 is 1/107745

Least Common Multiple of 653,165 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 653,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,165) = 1

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

GCF(653,165) x common factors =1 x 1 = 1

LCM(653,165) = ( 653 × 165 ) / 1

LCM(653,165) = 107745 / 1

LCM(653,165) = 107745

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FAQs on GCF of Fractions of 6605/653, 6533/165

1. What is the HCF of 6605,6533?

The HCF of 6605,6533 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 6605/653, 6533/165?

Answer: GCF of Numerators as per given numbers 6605/653, 6533/165 is

GCF of Numerators i.e. for 6605,6533 is 1

LCM of denominators i.e. for 653,165 is 107745.

Thus, GCF of Fractions is 1/107745.Finally, GCF of Fractions for 6605/653, 6533/165 is 1/107745.