Greatest Common Factor of 481/30, 502/20, 665/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 481/30, 502/20, 665/896

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 481/30,502/20,665/896

Given fractions are 481/30,502/20,665/896

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 481,502,665

Greatest Common Factor of Numerators i.e. GCF of 481,502,665 is 1 .

LCM of Denominators means LCM of 30,20,896 as per the given fractions.

LCM of 30,20,896 is 13440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 481,502,665

GCF of Fractions 481/30,502/20,665/896 is 1/13440

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

Greatest Common Factor of 481,502,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,502,665 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 481,502,665 . The biggest common factor number is the GCF number.
So the greatest common factor 481,502,665 is 1.

Lets's calculate LCM of 30,20,896

2 30, 20, 896
2 15, 10, 448
5 15, 5, 224
3, 1, 224

∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 1 x 224 = 13440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13440

Therefore, the GCF of Fractions 481/30,502/20,665/896 is 1/13440

Least Common Multiple of 30,20,896 with GCF Formula

Least Common Multiple of 30,20,896 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 30,20,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,20,896) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(30,20,896) x common factors =2 x 20 = 40

LCM(30,20,896) = ( 30 × 20 × 896 ) / 40

LCM(30,20,896) = 537600 / 40

LCM(30,20,896) = 13440


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 481/30, 502/20, 665/896

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 481/30, 502/20, 665/896?

Answer: GCF of Numerators as per given numbers 481/30, 502/20, 665/896 is

GCF of Numerators i.e. for 481,502,665 is 1

LCM of denominators i.e. for 30,20,896 is 13440.

Thus, GCF of Fractions is 1/13440.Finally, GCF of Fractions for 481/30, 502/20, 665/896 is 1/13440.