Greatest Common Factor of 84/83, 821/85, 279/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/83, 821/85, 279/219

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 84/83,821/85,279/219

Given fractions are 84/83,821/85,279/219

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 84,821,279

Greatest Common Factor of Numerators i.e. GCF of 84,821,279 is 1 .

LCM of Denominators means LCM of 83,85,219 as per the given fractions.

LCM of 83,85,219 is 1545045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,821,279

GCF of Fractions 84/83,821/85,279/219 is 1/1545045

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

Greatest Common Factor of 84,821,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,821,279 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 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 84,821,279 . The biggest common factor number is the GCF number.
So the greatest common factor 84,821,279 is 1.

Lets's calculate LCM of 83,85,219

Given numbers has no common factors except 1. So, there LCM is their product i.e 1545045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1545045

Therefore, the GCF of Fractions 84/83,821/85,279/219 is 1/1545045

Least Common Multiple of 83,85,219 with GCF Formula

Least Common Multiple of 83,85,219 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 83,85,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,85,219) = 1

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

GCF(83,85,219) x common factors =1 x 1 = 1

LCM(83,85,219) = ( 83 × 85 × 219 ) / 1

LCM(83,85,219) = 1545045 / 1

LCM(83,85,219) = 1545045


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 84/83, 821/85, 279/219

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 84/83, 821/85, 279/219?

Answer: GCF of Numerators as per given numbers 84/83, 821/85, 279/219 is

GCF of Numerators i.e. for 84,821,279 is 1

LCM of denominators i.e. for 83,85,219 is 1545045.

Thus, GCF of Fractions is 1/1545045.Finally, GCF of Fractions for 84/83, 821/85, 279/219 is 1/1545045.