How to Find GCF of 66/99, 53/65, 605/491?

GCF of 66/99, 53/65, 605/491

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 66/99, 53/65, 605/491 i.e 1/3159585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/99, 53/65, 605/491.

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 66/99,53/65,605/491?

Given fractions are 66/99,53/65,605/491

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 66/99,53/65,605/491, numerators are 66,53,605

Denominators are 99,65,491

The GCF of 66,53,605 is 1 .

LCM of 99,65,491 is 3159585.

The greatest common factor of 66/99,53/65,605/491 = [GCF of 66,53,605]/[LCM of 99,65,491]= 1/3159585

Therefore, the GCF of 66/99,53/65,605/491 is 1/3159585.

Greatest Common Factor of 66,53,605

To find the highest common factor of 66,53,605, we have to find the factors of both numbers and list the highest common factor.

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 53 are 1, 53

The factors of 605 are 1, 5, 11, 55, 121, 605

The HCF of 66,53,605 is 1.

Lets's calculate GCF of 66,53,605

Greatest Common Factor (GCF) of 66,53,605 By Common Division

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

Greatest Common Factor of 66,53,605 By Matching Biggest Common Factor Method

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 53

1,53

Now, list down the factors of 605

1,5,11,55,121,605

Greatest Common Factor

We found the factors 66,53,605 . The biggest common factor number is the GCF number.
So the greatest common factor 66,53,605 is 1.

Lets's calculate LCM of 99,65,491

Lowest Common Multiple of 99,65,491 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3159585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3159585

Therefore, the GCF of Fractions 66/99,53/65,605/491 is 1/3159585

Least Common Multiple of 99,65,491 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 99,65,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,65,491) = 1

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

GCF(99,65,491) x common factors =1 x 1 = 1

LCM(99,65,491) = ( 99 × 65 × 491 ) / 1

LCM(99,65,491) = 3159585 / 1

LCM(99,65,491) = 3159585

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 66/99, 53/65, 605/491

1. What is the HCF of 66,53,605?

The HCF of 66,53,605 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 66/99, 53/65, 605/491?

Answer: GCF of Numerators as per given numbers 66/99, 53/65, 605/491 is

GCF of Numerators i.e. for 66,53,605 is 1

LCM of denominators i.e. for 99,65,491 is 3159585.

Thus, GCF of Fractions is 1/3159585.Finally, GCF of Fractions for 66/99, 53/65, 605/491 is 1/3159585.