Greatest Common Factor of 752/82, 516/83, 286/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/82, 516/83, 286/447

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 752/82,516/83,286/447

Given fractions are 752/82,516/83,286/447

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 752,516,286

Greatest Common Factor of Numerators i.e. GCF of 752,516,286 is 2 .

LCM of Denominators means LCM of 82,83,447 as per the given fractions.

LCM of 82,83,447 is 3042282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,516,286

GCF of Fractions 752/82,516/83,286/447 is 2/3042282

2 752, 516, 286
376, 258, 143

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

Greatest Common Factor of 752,516,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,516,286 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 752,516,286 . The biggest common factor number is the GCF number.
So the greatest common factor 752,516,286 is 2.

Lets's calculate LCM of 82,83,447

Given numbers has no common factors except 1. So, there LCM is their product i.e 3042282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3042282

Therefore, the GCF of Fractions 752/82,516/83,286/447 is 2/3042282

Least Common Multiple of 82,83,447 with GCF Formula

Least Common Multiple of 82,83,447 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 82,83,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,83,447) = 1

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

GCF(82,83,447) x common factors =1 x 1 = 1

LCM(82,83,447) = ( 82 × 83 × 447 ) / 1

LCM(82,83,447) = 3042282 / 1

LCM(82,83,447) = 3042282


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 752/82, 516/83, 286/447

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 752/82, 516/83, 286/447?

Answer: GCF of Numerators as per given numbers 752/82, 516/83, 286/447 is

GCF of Numerators i.e. for 752,516,286 is 2

LCM of denominators i.e. for 82,83,447 is 3042282.

Thus, GCF of Fractions is 2/3042282.Finally, GCF of Fractions for 752/82, 516/83, 286/447 is 2/3042282.