Greatest Common Factor of 84/473, 476/784, 705/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/473, 476/784, 705/281

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 84/473,476/784,705/281

Given fractions are 84/473,476/784,705/281

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 84,476,705

Greatest Common Factor of Numerators i.e. GCF of 84,476,705 is 1 .

LCM of Denominators means LCM of 473,784,281 as per the given fractions.

LCM of 473,784,281 is 104203792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,476,705

GCF of Fractions 84/473,476/784,705/281 is 1/104203792

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

Greatest Common Factor of 84,476,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,476,705 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 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 84,476,705 . The biggest common factor number is the GCF number.
So the greatest common factor 84,476,705 is 1.

Lets's calculate LCM of 473,784,281

Given numbers has no common factors except 1. So, there LCM is their product i.e 104203792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104203792

Therefore, the GCF of Fractions 84/473,476/784,705/281 is 1/104203792

Least Common Multiple of 473,784,281 with GCF Formula

Least Common Multiple of 473,784,281 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 473,784,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,784,281) = 1

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

GCF(473,784,281) x common factors =1 x 1 = 1

LCM(473,784,281) = ( 473 × 784 × 281 ) / 1

LCM(473,784,281) = 104203792 / 1

LCM(473,784,281) = 104203792


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 84/473, 476/784, 705/281

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 84/473, 476/784, 705/281?

Answer: GCF of Numerators as per given numbers 84/473, 476/784, 705/281 is

GCF of Numerators i.e. for 84,476,705 is 1

LCM of denominators i.e. for 473,784,281 is 104203792.

Thus, GCF of Fractions is 1/104203792.Finally, GCF of Fractions for 84/473, 476/784, 705/281 is 1/104203792.