Greatest Common Factor of 182/892, 484/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 182/892, 484/506

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 182/892,484/506

Given fractions are 182/892,484/506

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 182,484

Greatest Common Factor of Numerators i.e. GCF of 182,484 is 2 .

LCM of Denominators means LCM of 892,506 as per the given fractions.

LCM of 892,506 is 225676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,484

GCF of Fractions 182/892,484/506 is 2/225676

2 182, 484
91, 242

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

Greatest Common Factor of 182,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,484 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 182,484 . The biggest common factor number is the GCF number.
So the greatest common factor 182,484 is 2.

Lets's calculate LCM of 892,506

2 892, 506
446, 253

∴ So the LCM of the given numbers is 2 x 446 x 253 = 225676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/225676

Therefore, the GCF of Fractions 182/892,484/506 is 2/225676

Least Common Multiple of 892,506 with GCF Formula

Least Common Multiple of 892,506 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 892,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,506) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(892,506) x common factors =2 x 1 = 2

LCM(892,506) = ( 892 × 506 ) / 2

LCM(892,506) = 451352 / 2

LCM(892,506) = 225676


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 182/892, 484/506

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 182/892, 484/506?

Answer: GCF of Numerators as per given numbers 182/892, 484/506 is

GCF of Numerators i.e. for 182,484 is 2

LCM of denominators i.e. for 892,506 is 225676.

Thus, GCF of Fractions is 2/225676.Finally, GCF of Fractions for 182/892, 484/506 is 2/225676.