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 99/34, 21/13, 941/29

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 99/34, 21/13, 941/29 i.e 1/12818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/34, 21/13, 941/29.

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 99/34,21/13,941/29?

Given fractions are 99/34,21/13,941/29

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 99/34,21/13,941/29, numerators are 99,21,941

Denominators are 34,13,29

The GCF of 99,21,941 is 1 .

LCM of 34,13,29 is 12818.

The greatest common factor of 99/34,21/13,941/29 = [GCF of 99,21,941]/[LCM of 34,13,29]= 1/12818

Therefore, the GCF of 99/34,21/13,941/29 is 1/12818.

Greatest Common Factor of 99,21,941

To find the highest common factor of 99,21,941, 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 21 are 1, 3, 7, 21

The factors of 941 are 1, 941

The HCF of 99,21,941 is 1.

Lets's calculate GCF of 99,21,941

Greatest Common Factor (GCF) of 99,21,941 By Common Division

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

Greatest Common Factor of 99,21,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,21,941 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 21

:

1,3,7,21

Now, list down the factors of 941

:

1,941

Greatest Common Factor

We found the factors 99,21,941 . The biggest common factor number is the GCF number.
So the greatest common factor 99,21,941 is 1.


Lets's calculate LCM of 34,13,29

Lowest Common Multiple of 34,13,29 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 12818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12818

Therefore, the GCF of Fractions 99/34,21/13,941/29 is 1/12818

Least Common Multiple of 34,13,29 with GCF Formula

Least Common Multiple of 34,13,29 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 34,13,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,13,29) = 1

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

GCF(34,13,29) x common factors =1 x 1 = 1

LCM(34,13,29) = ( 34 × 13 × 29 ) / 1

LCM(34,13,29) = 12818 / 1

LCM(34,13,29) = 12818


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 99/34, 21/13, 941/29

1. What is the HCF of 99,21,941?

The HCF of 99,21,941 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 99/34, 21/13, 941/29?

Answer: GCF of Numerators as per given numbers 99/34, 21/13, 941/29 is

GCF of Numerators i.e. for 99,21,941 is 1

LCM of denominators i.e. for 34,13,29 is 12818.

Thus, GCF of Fractions is 1/12818.Finally, GCF of Fractions for 99/34, 21/13, 941/29 is 1/12818.