Greatest Common Factor of 24/689, 398/678, 459/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/689, 398/678, 459/329

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 24/689,398/678,459/329

Given fractions are 24/689,398/678,459/329

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 24,398,459

Greatest Common Factor of Numerators i.e. GCF of 24,398,459 is 1 .

LCM of Denominators means LCM of 689,678,329 as per the given fractions.

LCM of 689,678,329 is 153689718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,398,459

GCF of Fractions 24/689,398/678,459/329 is 1/153689718

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

Greatest Common Factor of 24,398,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,398,459 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 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 24,398,459 . The biggest common factor number is the GCF number.
So the greatest common factor 24,398,459 is 1.

Lets's calculate LCM of 689,678,329

Given numbers has no common factors except 1. So, there LCM is their product i.e 153689718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153689718

Therefore, the GCF of Fractions 24/689,398/678,459/329 is 1/153689718

Least Common Multiple of 689,678,329 with GCF Formula

Least Common Multiple of 689,678,329 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 689,678,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,678,329) = 1

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

GCF(689,678,329) x common factors =1 x 1 = 1

LCM(689,678,329) = ( 689 × 678 × 329 ) / 1

LCM(689,678,329) = 153689718 / 1

LCM(689,678,329) = 153689718


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 24/689, 398/678, 459/329

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 24/689, 398/678, 459/329?

Answer: GCF of Numerators as per given numbers 24/689, 398/678, 459/329 is

GCF of Numerators i.e. for 24,398,459 is 1

LCM of denominators i.e. for 689,678,329 is 153689718.

Thus, GCF of Fractions is 1/153689718.Finally, GCF of Fractions for 24/689, 398/678, 459/329 is 1/153689718.