Greatest Common Factor of 84/16, 218/56, 828/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/16, 218/56, 828/479

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 84/16,218/56,828/479

Given fractions are 84/16,218/56,828/479

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 84,218,828

Greatest Common Factor of Numerators i.e. GCF of 84,218,828 is 2 .

LCM of Denominators means LCM of 16,56,479 as per the given fractions.

LCM of 16,56,479 is 53648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,218,828

GCF of Fractions 84/16,218/56,828/479 is 2/53648

2 84, 218, 828
42, 109, 414

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

Greatest Common Factor of 84,218,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,218,828 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 84,218,828 . The biggest common factor number is the GCF number.
So the greatest common factor 84,218,828 is 2.

Lets's calculate LCM of 16,56,479

2 16, 56, 479
2 8, 28, 479
2 4, 14, 479
2, 7, 479

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 479 = 53648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53648

Therefore, the GCF of Fractions 84/16,218/56,828/479 is 2/53648

Least Common Multiple of 16,56,479 with GCF Formula

Least Common Multiple of 16,56,479 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 16,56,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,56,479) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(16,56,479) x common factors =1 x 8 = 8

LCM(16,56,479) = ( 16 × 56 × 479 ) / 8

LCM(16,56,479) = 429184 / 8

LCM(16,56,479) = 53648


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 84/16, 218/56, 828/479

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 84/16, 218/56, 828/479?

Answer: GCF of Numerators as per given numbers 84/16, 218/56, 828/479 is

GCF of Numerators i.e. for 84,218,828 is 2

LCM of denominators i.e. for 16,56,479 is 53648.

Thus, GCF of Fractions is 2/53648.Finally, GCF of Fractions for 84/16, 218/56, 828/479 is 2/53648.