Greatest Common Factor of 506/466, 4158/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/466, 4158/300

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 506/466,4158/300

Given fractions are 506/466,4158/300

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 506,4158

Greatest Common Factor of Numerators i.e. GCF of 506,4158 is 22 .

LCM of Denominators means LCM of 466,300 as per the given fractions.

LCM of 466,300 is 69900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,4158

GCF of Fractions 506/466,4158/300 is 22/69900

2 506, 4158
11 253, 2079
23, 189

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 506,4158 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,4158 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 4158

List of positive integer factors of 4158 that divides 4158 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158

Greatest Common Factor

We found the factors 506,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 506,4158 is 22.

Lets's calculate LCM of 466,300

2 466, 300
233, 150

∴ So the LCM of the given numbers is 2 x 233 x 150 = 69900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/69900

Therefore, the GCF of Fractions 506/466,4158/300 is 22/69900

Least Common Multiple of 466,300 with GCF Formula

Least Common Multiple of 466,300 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 466,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,300) = 2

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

GCF(466,300) x common factors =2 x 1 = 2

LCM(466,300) = ( 466 × 300 ) / 2

LCM(466,300) = 139800 / 2

LCM(466,300) = 69900


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 506/466, 4158/300

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 506/466, 4158/300?

Answer: GCF of Numerators as per given numbers 506/466, 4158/300 is

GCF of Numerators i.e. for 506,4158 is 22

LCM of denominators i.e. for 466,300 is 69900.

Thus, GCF of Fractions is 22/69900.Finally, GCF of Fractions for 506/466, 4158/300 is 22/69900.