Greatest Common Factor of 143/44, 481/52, 299/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 143/44, 481/52, 299/530

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 143/44,481/52,299/530

Given fractions are 143/44,481/52,299/530

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 143,481,299

Greatest Common Factor of Numerators i.e. GCF of 143,481,299 is 13 .

LCM of Denominators means LCM of 44,52,530 as per the given fractions.

LCM of 44,52,530 is 151580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 143,481,299

GCF of Fractions 143/44,481/52,299/530 is 13/151580

13 143, 481, 299
11, 37, 23

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 143,481,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,481,299 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 481

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

1,13,37,481

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 143,481,299 . The biggest common factor number is the GCF number.
So the greatest common factor 143,481,299 is 13.

Lets's calculate LCM of 44,52,530

2 44, 52, 530
2 22, 26, 265
11, 13, 265

∴ So the LCM of the given numbers is 2 x 2 x 11 x 13 x 265 = 151580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/151580

Therefore, the GCF of Fractions 143/44,481/52,299/530 is 13/151580

Least Common Multiple of 44,52,530 with GCF Formula

Least Common Multiple of 44,52,530 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 44,52,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,52,530) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(44,52,530) x common factors =2 x 4 = 8

LCM(44,52,530) = ( 44 × 52 × 530 ) / 8

LCM(44,52,530) = 1212640 / 8

LCM(44,52,530) = 151580


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 143/44, 481/52, 299/530

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 143/44, 481/52, 299/530?

Answer: GCF of Numerators as per given numbers 143/44, 481/52, 299/530 is

GCF of Numerators i.e. for 143,481,299 is 13

LCM of denominators i.e. for 44,52,530 is 151580.

Thus, GCF of Fractions is 13/151580.Finally, GCF of Fractions for 143/44, 481/52, 299/530 is 13/151580.