Greatest Common Factor of 853/83, 224/99, 529/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 853/83, 224/99, 529/242

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 853/83,224/99,529/242

Given fractions are 853/83,224/99,529/242

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 853,224,529

Greatest Common Factor of Numerators i.e. GCF of 853,224,529 is 1 .

LCM of Denominators means LCM of 83,99,242 as per the given fractions.

LCM of 83,99,242 is 180774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 853,224,529

GCF of Fractions 853/83,224/99,529/242 is 1/180774

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

Greatest Common Factor of 853,224,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,224,529 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 853,224,529 . The biggest common factor number is the GCF number.
So the greatest common factor 853,224,529 is 1.

Lets's calculate LCM of 83,99,242

11 83, 99, 242
83, 9, 22

∴ So the LCM of the given numbers is 11 x 83 x 9 x 22 = 180774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180774

Therefore, the GCF of Fractions 853/83,224/99,529/242 is 1/180774

Least Common Multiple of 83,99,242 with GCF Formula

Least Common Multiple of 83,99,242 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 83,99,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,99,242) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(83,99,242) x common factors =1 x 11 = 11

LCM(83,99,242) = ( 83 × 99 × 242 ) / 11

LCM(83,99,242) = 1988514 / 11

LCM(83,99,242) = 180774


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 853/83, 224/99, 529/242

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 853/83, 224/99, 529/242?

Answer: GCF of Numerators as per given numbers 853/83, 224/99, 529/242 is

GCF of Numerators i.e. for 853,224,529 is 1

LCM of denominators i.e. for 83,99,242 is 180774.

Thus, GCF of Fractions is 1/180774.Finally, GCF of Fractions for 853/83, 224/99, 529/242 is 1/180774.