Greatest Common Factor of 784/86, 455/33, 839/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 784/86, 455/33, 839/574

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 784/86,455/33,839/574

Given fractions are 784/86,455/33,839/574

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 784,455,839

Greatest Common Factor of Numerators i.e. GCF of 784,455,839 is 1 .

LCM of Denominators means LCM of 86,33,574 as per the given fractions.

LCM of 86,33,574 is 814506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 784,455,839

GCF of Fractions 784/86,455/33,839/574 is 1/814506

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

Greatest Common Factor of 784,455,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,455,839 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 784,455,839 . The biggest common factor number is the GCF number.
So the greatest common factor 784,455,839 is 1.

Lets's calculate LCM of 86,33,574

2 86, 33, 574
43, 33, 287

∴ So the LCM of the given numbers is 2 x 43 x 33 x 287 = 814506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/814506

Therefore, the GCF of Fractions 784/86,455/33,839/574 is 1/814506

Least Common Multiple of 86,33,574 with GCF Formula

Least Common Multiple of 86,33,574 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 86,33,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,33,574) = 1

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

GCF(86,33,574) x common factors =1 x 2 = 2

LCM(86,33,574) = ( 86 × 33 × 574 ) / 2

LCM(86,33,574) = 1629012 / 2

LCM(86,33,574) = 814506


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 784/86, 455/33, 839/574

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 784/86, 455/33, 839/574?

Answer: GCF of Numerators as per given numbers 784/86, 455/33, 839/574 is

GCF of Numerators i.e. for 784,455,839 is 1

LCM of denominators i.e. for 86,33,574 is 814506.

Thus, GCF of Fractions is 1/814506.Finally, GCF of Fractions for 784/86, 455/33, 839/574 is 1/814506.