Greatest Common Factor of 182/16, 435/23, 266/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 182/16, 435/23, 266/802

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 182/16,435/23,266/802

Given fractions are 182/16,435/23,266/802

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 182,435,266

Greatest Common Factor of Numerators i.e. GCF of 182,435,266 is 1 .

LCM of Denominators means LCM of 16,23,802 as per the given fractions.

LCM of 16,23,802 is 147568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,435,266

GCF of Fractions 182/16,435/23,266/802 is 1/147568

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

Greatest Common Factor of 182,435,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,435,266 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 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 182,435,266 . The biggest common factor number is the GCF number.
So the greatest common factor 182,435,266 is 1.

Lets's calculate LCM of 16,23,802

2 16, 23, 802
8, 23, 401

∴ So the LCM of the given numbers is 2 x 8 x 23 x 401 = 147568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147568

Therefore, the GCF of Fractions 182/16,435/23,266/802 is 1/147568

Least Common Multiple of 16,23,802 with GCF Formula

Least Common Multiple of 16,23,802 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 16,23,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,23,802) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,23,802) x common factors =1 x 2 = 2

LCM(16,23,802) = ( 16 × 23 × 802 ) / 2

LCM(16,23,802) = 295136 / 2

LCM(16,23,802) = 147568


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 182/16, 435/23, 266/802

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 182/16, 435/23, 266/802?

Answer: GCF of Numerators as per given numbers 182/16, 435/23, 266/802 is

GCF of Numerators i.e. for 182,435,266 is 1

LCM of denominators i.e. for 16,23,802 is 147568.

Thus, GCF of Fractions is 1/147568.Finally, GCF of Fractions for 182/16, 435/23, 266/802 is 1/147568.