Greatest Common Factor of 24/33, 129/97, 461/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/33, 129/97, 461/833

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 24/33,129/97,461/833

Given fractions are 24/33,129/97,461/833

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 24,129,461

Greatest Common Factor of Numerators i.e. GCF of 24,129,461 is 1 .

LCM of Denominators means LCM of 33,97,833 as per the given fractions.

LCM of 33,97,833 is 2666433 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,129,461

GCF of Fractions 24/33,129/97,461/833 is 1/2666433

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

Greatest Common Factor of 24,129,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,129,461 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 24,129,461 . The biggest common factor number is the GCF number.
So the greatest common factor 24,129,461 is 1.

Lets's calculate LCM of 33,97,833

Given numbers has no common factors except 1. So, there LCM is their product i.e 2666433

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2666433

Therefore, the GCF of Fractions 24/33,129/97,461/833 is 1/2666433

Least Common Multiple of 33,97,833 with GCF Formula

Least Common Multiple of 33,97,833 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 33,97,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,97,833) = 1

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

GCF(33,97,833) x common factors =1 x 1 = 1

LCM(33,97,833) = ( 33 × 97 × 833 ) / 1

LCM(33,97,833) = 2666433 / 1

LCM(33,97,833) = 2666433


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 24/33, 129/97, 461/833

1. 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.

2. What is the GCF of Fractions for 24/33, 129/97, 461/833?

Answer: GCF of Numerators as per given numbers 24/33, 129/97, 461/833 is

GCF of Numerators i.e. for 24,129,461 is 1

LCM of denominators i.e. for 33,97,833 is 2666433.

Thus, GCF of Fractions is 1/2666433.Finally, GCF of Fractions for 24/33, 129/97, 461/833 is 1/2666433.