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 24/34, 91/33, 225/13

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 24/34, 91/33, 225/13 i.e 1/14586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/34, 91/33, 225/13.

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 24/34,91/33,225/13?

Given fractions are 24/34,91/33,225/13

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 24/34,91/33,225/13, numerators are 24,91,225

Denominators are 34,33,13

The GCF of 24,91,225 is 1 .

LCM of 34,33,13 is 14586.

The greatest common factor of 24/34,91/33,225/13 = [GCF of 24,91,225]/[LCM of 34,33,13]= 1/14586

Therefore, the GCF of 24/34,91/33,225/13 is 1/14586.

Greatest Common Factor of 24,91,225

To find the highest common factor of 24,91,225, we have to find the factors of both numbers and list the highest common factor.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The factors of 91 are 1, 7, 13, 91

The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225

The HCF of 24,91,225 is 1.

Lets's calculate GCF of 24,91,225

Greatest Common Factor (GCF) of 24,91,225 By Common Division

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

Greatest Common Factor of 24,91,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,91,225 By Matching Biggest Common Factor Method

Now, list down the factors of 24

:

1,2,3,4,6,8,12,24

Now, list down the factors of 91

:

1,7,13,91

Now, list down the factors of 225

:

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 24,91,225 . The biggest common factor number is the GCF number.
So the greatest common factor 24,91,225 is 1.


Lets's calculate LCM of 34,33,13

Lowest Common Multiple of 34,33,13 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14586

Therefore, the GCF of Fractions 24/34,91/33,225/13 is 1/14586

Least Common Multiple of 34,33,13 with GCF Formula

Least Common Multiple of 34,33,13 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 34,33,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,33,13) = 1

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

GCF(34,33,13) x common factors =1 x 1 = 1

LCM(34,33,13) = ( 34 × 33 × 13 ) / 1

LCM(34,33,13) = 14586 / 1

LCM(34,33,13) = 14586


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 24/34, 91/33, 225/13

1. What is the HCF of 24,91,225?

The HCF of 24,91,225 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 24/34, 91/33, 225/13?

Answer: GCF of Numerators as per given numbers 24/34, 91/33, 225/13 is

GCF of Numerators i.e. for 24,91,225 is 1

LCM of denominators i.e. for 34,33,13 is 14586.

Thus, GCF of Fractions is 1/14586.Finally, GCF of Fractions for 24/34, 91/33, 225/13 is 1/14586.