Greatest Common Factor of 408/24, 240/82, 698/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/24, 240/82, 698/553

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 408/24,240/82,698/553

Given fractions are 408/24,240/82,698/553

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 408,240,698

Greatest Common Factor of Numerators i.e. GCF of 408,240,698 is 2 .

LCM of Denominators means LCM of 24,82,553 as per the given fractions.

LCM of 24,82,553 is 544152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,240,698

GCF of Fractions 408/24,240/82,698/553 is 2/544152

2 408, 240, 698
204, 120, 349

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 408,240,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,240,698 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 408,240,698 . The biggest common factor number is the GCF number.
So the greatest common factor 408,240,698 is 2.

Lets's calculate LCM of 24,82,553

2 24, 82, 553
12, 41, 553

∴ So the LCM of the given numbers is 2 x 12 x 41 x 553 = 544152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/544152

Therefore, the GCF of Fractions 408/24,240/82,698/553 is 2/544152

Least Common Multiple of 24,82,553 with GCF Formula

Least Common Multiple of 24,82,553 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 24,82,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,82,553) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(24,82,553) x common factors =1 x 2 = 2

LCM(24,82,553) = ( 24 × 82 × 553 ) / 2

LCM(24,82,553) = 1088304 / 2

LCM(24,82,553) = 544152


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 408/24, 240/82, 698/553

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 408/24, 240/82, 698/553?

Answer: GCF of Numerators as per given numbers 408/24, 240/82, 698/553 is

GCF of Numerators i.e. for 408,240,698 is 2

LCM of denominators i.e. for 24,82,553 is 544152.

Thus, GCF of Fractions is 2/544152.Finally, GCF of Fractions for 408/24, 240/82, 698/553 is 2/544152.