LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 99/99, 965/36, 549/598

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 99/99, 965/36, 549/598 i.e 1/118404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/99, 965/36, 549/598.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 99/99,965/36,549/598?

Given fractions are 99/99,965/36,549/598

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 99/99,965/36,549/598, numerators are 99,965,549

Denominators are 99,36,598

The GCF of 99,965,549 is 1 .

LCM of 99,36,598 is 118404.

The greatest common factor of 99/99,965/36,549/598 = [GCF of 99,965,549]/[LCM of 99,36,598]= 1/118404

Therefore, the GCF of 99/99,965/36,549/598 is 1/118404.

Greatest Common Factor of 99,965,549

To find the highest common factor of 99,965,549, we have to find the factors of both numbers and list the highest common factor.

The factors of 99 are 1, 3, 9, 11, 33, 99

The factors of 965 are 1, 5, 193, 965

The factors of 549 are 1, 3, 9, 61, 183, 549

The HCF of 99,965,549 is 1.

Lets's calculate GCF of 99,965,549

Greatest Common Factor (GCF) of 99,965,549 By Common Division

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

Greatest Common Factor of 99,965,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,965,549 By Matching Biggest Common Factor Method

Now, list down the factors of 99

:

1,3,9,11,33,99

Now, list down the factors of 965

:

1,5,193,965

Now, list down the factors of 549

:

1,3,9,61,183,549

Greatest Common Factor

We found the factors 99,965,549 . The biggest common factor number is the GCF number.
So the greatest common factor 99,965,549 is 1.


Lets's calculate LCM of 99,36,598

Lowest Common Multiple of 99,36,598 using Common Division

2 99, 36, 598
3 99, 18, 299
3 33, 6, 299
11, 2, 299

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 2 x 299 = 118404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118404

Therefore, the GCF of Fractions 99/99,965/36,549/598 is 1/118404

Least Common Multiple of 99,36,598 with GCF Formula

Least Common Multiple of 99,36,598 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 99,36,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,36,598) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(99,36,598) x common factors =1 x 18 = 18

LCM(99,36,598) = ( 99 × 36 × 598 ) / 18

LCM(99,36,598) = 2131272 / 18

LCM(99,36,598) = 118404


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 99/99, 965/36, 549/598

1. What is the HCF of 99,965,549?

The HCF of 99,965,549 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 99/99, 965/36, 549/598?

Answer: GCF of Numerators as per given numbers 99/99, 965/36, 549/598 is

GCF of Numerators i.e. for 99,965,549 is 1

LCM of denominators i.e. for 99,36,598 is 118404.

Thus, GCF of Fractions is 1/118404.Finally, GCF of Fractions for 99/99, 965/36, 549/598 is 1/118404.