Greatest Common Factor of 483/624, 435/768, 497/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/624, 435/768, 497/570

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 483/624,435/768,497/570

Given fractions are 483/624,435/768,497/570

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 483,435,497

Greatest Common Factor of Numerators i.e. GCF of 483,435,497 is 1 .

LCM of Denominators means LCM of 624,768,570 as per the given fractions.

LCM of 624,768,570 is 948480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,435,497

GCF of Fractions 483/624,435/768,497/570 is 1/948480

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

Greatest Common Factor of 483,435,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,435,497 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 483,435,497 . The biggest common factor number is the GCF number.
So the greatest common factor 483,435,497 is 1.

Lets's calculate LCM of 624,768,570

2 624, 768, 570
2 312, 384, 285
2 156, 192, 285
2 78, 96, 285
3 39, 48, 285
13, 16, 95

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 13 x 16 x 95 = 948480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/948480

Therefore, the GCF of Fractions 483/624,435/768,497/570 is 1/948480

Least Common Multiple of 624,768,570 with GCF Formula

Least Common Multiple of 624,768,570 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 624,768,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,768,570) = 6

common factors(in case of two or more numbers have common factors) = 48

GCF(624,768,570) x common factors =6 x 48 = 288

LCM(624,768,570) = ( 624 × 768 × 570 ) / 288

LCM(624,768,570) = 273162240 / 288

LCM(624,768,570) = 948480


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 483/624, 435/768, 497/570

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 483/624, 435/768, 497/570?

Answer: GCF of Numerators as per given numbers 483/624, 435/768, 497/570 is

GCF of Numerators i.e. for 483,435,497 is 1

LCM of denominators i.e. for 624,768,570 is 948480.

Thus, GCF of Fractions is 1/948480.Finally, GCF of Fractions for 483/624, 435/768, 497/570 is 1/948480.